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Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 82663 Brian McLogan
MIT grad shows how to find the horizontal asymptote (of a rational function) with a quick and easy rule. Nancy formerly of MathBFF explains the steps. For how to find VERTICAL asymptotes instead, jump to the video: https://youtu.be/V137qmDN9Qw Follow me on Instagram! https://instagram.com/mathnancy Follow me on Twitter: https://twitter.com/nancypi The degree of a function is the highest power of x that appears in the polynomial. To find the horizontal asymptote, there are three easy cases. 1) If the degree of the numerator expression is less than the degree of the denominator expression, then the horizontal asymptote is y=0 (the x-axis). 2) If the degree of the numerator is equal to the degree of the denominator, then you can find the horizontal asymptote by dividing the first, highest term of the numerator by the first, highest term of the denominator. This will simplify to y = some constant (just a number). 3) If the degree of the numerator is greater than the degree of the denominator, then there is no horizontal asymptote. For more of my math videos, check out: http://nancypi.com
Views: 86713 NancyPi
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 324676 Brian McLogan
Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding All Asymptotes of a Rational Function (Vertical, Horizontal, Oblique / Slant). Here we look at a function and find the vertical asymptote and also conclude that there are no horizontal asymptotes, but that an oblique asymptote does exist. We then use long division to find the oblique asymptote.
Views: 673655 patrickJMT
► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course To find the horizontal asymptotes of a rational function (a fraction in which both the numerator and denominator are polynomials), you want to compare the degree of the numerator and denominator. If the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote is given by the ratio of the coefficients on the highest degree terms. If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is the x-axis, or the line y=0. If the degree of the numerator is greater than the degree of the denominator, then the function has no horizontal asymptote. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com ● ● ● CONNECT WITH KRISTA ● ● ● Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;) Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com FACEBOOK // https://www.facebook.com/KristaKingMath TWITTER // https://twitter.com/KristaKingMath INSTAGRAM // https://www.instagram.com/kristakingmath/ PINTEREST // https://www.pinterest.com/KristaKingMath/ GOOGLE+ // https://plus.google.com/+Integralcalc/ QUORA // https://www.quora.com/profile/Krista-King
Views: 94289 Krista King
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 117764 Brian McLogan
This math video tutorial shows you how to find the horizontal, vertical and slant / oblique asymptote of a rational function. This video is for students who might be taking algebra 1 or 2, precalculus or calculus in high school or those who might be taking college algebra in an university. This video contains plenty of notes, examples, and practice problems for you to master the concepts. Here is a list of topics: 1. Horizontal and Vertical Asymptotes Review 2. Setting the Denominator Equal to Zero to Find The Vertical Asymptote 3. Top Heavy vs Bottom Heavy Functions - Comparing the Degree of The Numerator with the Denominator of the Fraction to Identify the Horizontal Asymptotes 4. Horizontal Asymptotes and End Behavior - As x approaches Infinity 5. Using Long Division To Find The Equation of The Slant / Oblique Asymptote 6. Graphing Rational Functions Using X and Y Intercepts 7. How To Identify and Remove any Holes or Points of Discontinuity 8. Point Discontinuity vs Infinite Discontinuity 9. Domain and Range of Rational Functions 10. Removing the Vertical Asymptote and X Coordinate of the Hole from the Domain 11. Removing the Horizontal Asymptote and Y Coordinate of the Hole from the Range 12. How To Determine / Calculate the X and Y Intercepts of a Rational Expression
Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the slant asymptote of a rational function, we divide the numerator by the denominator using either long division or synthetic division. The quotient obtained when the numerator is divided by the denominator is the slant asymptote of the function. Subscribe: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1 Website: http://www.freemathvideos.com Learn from Udemy: https://www.udemy.com/user/brianmclogan2/ Follow us on Facebook: https://www.facebook.com/freemathvideos/ Twitter https://twitter.com/mrbrianmclogan #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 113895 Brian McLogan
This video steps through 6 different rational functions and finds the vertical and horizontal asymptotes of each. A graph of each is also supplied. On the graph, the function is a black solid line and its asymptotes are green dashed lines.
Views: 96065 James Elliott
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 163191 Brian McLogan
This algebra video tutorial explains how to find the vertical asymptote of a function. It explains how to distinguish a vertical asymptote from a hole and how to factor rational functions in order to identify all vertical asymptotes in a function. This video contains plenty of examples and practice problems for you to master this concept. Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/ Algebra Video Playlist: https://www.youtube.com/watch?v=yBCAv_NzzPQ&t=25s&index=1&list=PL0o_zxa4K1BWKL_6lYRmEaXY6OgZWGE8G
Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Horizontal Asynptotes, Limits at Infinity - Another Example #1. In this video, I work some more examples of finding horizontal asymptotes of rational functions.
Views: 136250 patrickJMT
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 885 Brian McLogan
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/rational-expressions/rational-function-graphing/e/graphs-of-rational-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-and-inverse-variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/rational-function-graphing/v/finding-asymptotes-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 617385 Khan Academy
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 3112 Brian McLogan
This algebra video tutorial explains how to identify the horizontal asymptotes and slant asymptotes of rational functions by comparing the degree of the numerator with the degree of the denominator of the rational expression. The equation of the slant asymptote can be determine using long division if the degree of the numerator exceeds the degree of the denominator by exactly 1. This algebra video tutorial contains plenty of examples and practice problems. New Algebra Playlist: https://www.youtube.com/watch?v=nTn9gVqRfKY&list=PL0o_zxa4K1BUeF2o-MlNpbRiS-oE2Kn6J&index=2 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
MIT grad shows how to find the vertical asymptotes of a rational function and what they look like on a graph. To skip ahead: 1) For the STEPS TO FIND THE VERTICAL ASYMPTOTE(S) and an example with two vertical asymptotes, skip to 0:19. 2) For an example in which FACTORS CANCEL and that has one vertical asymptote and a HOLE, skip to 5:58. 3) For an example with NO VERTICAL ASYMPTOTES, skip to time 10:12. Nancy formerly of MathBFF explains the steps. Follow me on Instagram! https://instagram.com/mathnancy Follow me on Twitter: https://twitter.com/nancypi For how to find the HORIZONTAL ASYMPTOTE jump to: https://youtu.be/qJrrZQgSkO8 For how to FACTOR quadratics jump to: https://youtu.be/YtN9_tCaRQc For how to find the DOMAIN of a function jump to: https://youtu.be/GQGFMUfr10M What is a vertical asymptote? It's an invisible vertical line that a function gets really really close to but never reaches. How do you find the vertical asymptote(s) from the given equation? THREE STEPS TO FIND THE VERTICAL ASYMPTOTE(S): For a rational function, there are three main steps you can always follow to find all the vertical asymptotes, if there are any: STEP 1) FACTOR: The first step is to factor the top and bottom (numerator and denominator) if you can, and as much as you can. For instance, in the function f(x) = (x^2 + 3x - 10)/(x^2 - 4), you can factor both the top and bottom. The numerator, x^2 + 3x - 10, is a quadratic that factors into (x + 5)(x - 2), and the denominator, x^2 - 4, is a difference of squares that factors into (x + 2)(x - 2). You then rewrite the whole function with both of these factorizations so that you have f(x) = [(x + 5)(x - 2)] / [(x + 2)(x - 2)]. STEP 2) CANCEL: Next, simplify the function by canceling any factors that are the same on top and bottom. If there are no common factors, you can leave it alone. In our example from Step 1, there is an x - 2 term on both the top and bottom, so we can cancel those two factors. You can rewrite the function after getting rid of those similar factors so that it looks like: f(x) = (x + 5)/(x + 2). STEP 3) SET THE DENOMINATOR EQUAL TO ZERO: After simplifying and getting rid of any common factors, the last step is to find the real zeros of the denominator by taking the bottom of the simplified function and setting it equal to zero. You then solve that equation for x, and any real numbers you get as a solution for x are where there are vertical asymptotes. You can write your answers as just "x equals [some number]". If you have vertical asymptotes, they will always be in that form, such as x = 3 or x = -2. These represent vertical (invisible) lines on the graph that your function approaches but never crosses. Remember that if you get an imaginary answer when you solve for x (such as a square root of a negative number), then there are no vertical asymptotes. If there is no real solution when you solve for x, then there are NO VERTICAL ASYMPTOTES. Note: By the way, if you had factors that cancelled in Step 2, that created a "hole", or removable discontinuity, on the graph where the function was indeterminate. For more of my math videos, check out: http://nancypi.com
Views: 92277 NancyPi
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 1930 Brian McLogan
This calculus video tutorial explains how to evaluate limits at infinity and how it relates to the horizontal asymptote of a function. Examples include rational functions, radical functions, inverse trigonometric functions and exponential functions. This video contains plenty of practice problems on evaluating limits at infinity analytically with radicals, square roots, and trig functions. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
This video explains how to determine horizontal and vertical asymptotes of a rational function, not using limits. It is appropriate for an algebra class. http://mathispower4u.yolasite.com/
Views: 73830 Mathispower4u
This calculus video tutorial explains how to find limits at infinity associated with vertical asymptotes and horizontal asymptotes that contain fractions, radicals, square roots, and rational functions. The limit as x approaches infinity is the end behavior of a function.
Views: 12347 Anil Kumar
Describes how to find the Limits @ Infinity for a rational function to find the horizontal and vertical asymptotes.
Views: 132634 poysermath
How to determine whether the graph of a rational function intersects its horizontal asymptote. This video is provided by the Learning Assistance Center of Howard Community College. For more math videos and exercises, go to HCCMathHelp.com.
Views: 33657 HCCMathHelp
I work through finding the horizontal asymptotes when the function is irrational. These types of functions can have two horizontal asymptotes instead of just one like rational functions. Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com
Views: 13229 ProfRobBob
Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and then select some random points usually at each side of the asymptotes and the intercepts and graph the points, this enables us to identify the behavior of the graph and thus enable us to graph the function. Subscribe: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1 Website: http://www.freemathvideos.com Learn from Udemy: https://www.udemy.com/user/brianmclogan2/ Follow us on Facebook: https://www.facebook.com/freemathvideos/ Twitter https://twitter.com/mrbrianmclogan #rationalfunctions #graphrationalfunctions #rationalfunctions #graphrationalfunctions
Views: 23754 Brian McLogan
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 21239 Brian McLogan
Views: 19835 Pawel Nazarewicz
Find the equation of the horizontal asymptote of f(x) = e^x/(1 + e^-1) Need some math help? I can help you! ~ For more quick examples, check out the other videos on my youtube channel ~ I can also be your personal tutor! Send me a message or post a comment and I'll reply with more details
Views: 6229 Cameron Math
Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations). This can be done by choosing 2-3 points of the equation (including the y-intercept) and ploting them on the x-y coordinate axis to see the nature of the graph of the parent function. After graphing the parent function, we can then apply the given transformations to obtain the required graph. #graphexponential #exponentialfunctions
Views: 156433 Brian McLogan
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 32554 Brian McLogan
How to Find the Asymptote of an Exponential Function IMPORTANT NOTE: There is a small error at 8:20... I should have said y= -4 (instead of y=4) In case you need it, here is a review of negative exponents: https://youtu.be/sISvSOJ0pWE?t=2m23s
Views: 8115 Nicole Hamilton
This calculus video tutorial explains how to evaluate infinite limits and vertical asymptotes including examples with rational functions, logarithms, trigonometric functions, square roots, and radicals. This video contains plenty of practice problems.
Learn all about asymptotes of a rational function. A rational function is a function, having variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the horizontal and the slant/oblique asymptotes. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the slant asymptote of a rational function, we divide the numerator by the denominator using either long division or synthetic division. The quotient obtained when the numerator is divided by the denominator is the slant asymptote of the function. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 9505 Brian McLogan
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 6774 Brian McLogan
Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Vertical Asymptotes of Rational Functions. In this video, I show what to look for, in order to find vertical asymptotes of rational functions, and do 4 examples of finding vertical asymptotes.
Views: 547259 patrickJMT
Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Rational Function : Find the Asymptotes (Vertical, Horizontal, Slant / Oblique)
Views: 262593 patrickJMT
This is a topic level video of Finding Horizontal and Vertical Asymptotes of a Rational Function: Quadratic Numerator or Denominator for ASU EdX. Join us! https://www.edx.org/course/college-algebra-problem-solving-asux-mat117
Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Rational Functions: Finding Zeros, Asymptotes and Sketching the Graph
Views: 197227 patrickJMT
An explanation of how to find vertical asymptotes for trig functions along with an example of finding them for tangent functions.
Views: 32874 The Infinite Looper
Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. #rationalfunctions #findasymptotes #rationalfunctions #findasymptotes #graphradicals #findasymptotes
Views: 21031 Brian McLogan
Learn how to find horizontal and vertical asymptotes when graphing rational functions in this free math video tutorial by Mario's Math Tutoring. 0:10 Example 1 Horizontal Asymptote of y=0 0:19 How to Find the Horizontal Asymptote 1:33 Example 2 Horizontal Asymptote Ratio of the Coefficients 2:03 Example 3 Slant Asymptote 2:14 How to Find the Equation of the Slant Asymptotote 3:27 How to Identify Holes and Vertical Asymptotes Related Videos: Graphing Rational Functions https://youtu.be/0V4eksfQCO0 Slant Asymptotes: https://youtu.be/BXzyY6IWq20 Holes & Removable Discontinuities https://youtu.be/irSg7rstDf0 Looking to raise your math score on the ACT and new SAT? Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at http://mariosmathtutoring.teachable.com For online 1-to-1 tutoring or more information about me see my website at: http://www.mariosmathtutoring.com Learn Algebra 1 Lesson by Lesson in my "Learn Algebra 1" video course for sale. 87 Lessons teaching you step by step Algebra 1. Check out the 13 free lessons(1 from each chapter) https://mariosmathtutoring.teachable.com/p/learn-algebra-1-video-course * Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) http://www.mariosmathtutoring.com/free-math-videos.html
Views: 5034 Mario's Math Tutoring
Subscribe Now: http://www.youtube.com/subscription_center?add_user=ehoweducation Watch More: http://www.youtube.com/ehoweducation Finding the asymptote of an exponential growth function requires you to format all of your existing information into an equation. Find the asymptote of an exponential growth function with help from a distinguished math expert in this free video clip. Expert: Subhah Agarwal Filmmaker: Alexis Guerreros Series Description: As long as you keep a few essential math tips in mind, you will not have issues moving on to bigger and more advanced concepts. Get essential math tips with help from a distinguished math expert in this free video series.
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Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Vertical Asymptotes of Rational Functions: Quick Way to Find Them, Another Example 1. Just another example of finding vertical asymptotes of rational functions.
Views: 101476 patrickJMT
Unit: Properties of Functions Concept: Graphs of Functions EQ: How can you determine the end behavior of a function and identify any horizontal asymptotes?
Views: 11939 Brian McHugh
Finding Horizontal, Vertical Asymptotes and Holes
Views: 14137 Nelson Garcia
This video by Fort Bend Tutoring shows the process of finding and graphing the horizontal asymptotes of rational functions. Six examples are shown in this FBT video. Instruction by Larry "Mr. Whitt" Whittington. Intro/Outro by Chuck Knipp's Shirley Q. Liquor. Subscribe to Fort Bend Tutoring [fbt] here: https://goo.gl/JuczKk Check out our Fort Bend Tutoring Amazon Affiliate Store for recommendations on products and textbooks to help you in your academic endeavors! https://www.amazon.com/shop/fortbendtutoring http://FortBendTutoring.spreadshirt.com http://Shop.TutorMeMath.net Rational Functions: Domain and Intercepts https://youtu.be/zjW8ulFu3ek Vertical Asymptotes https://youtu.be/p955Tvla-GY Holes https://youtu.be/Gq6fMkDDqdA Simplifying Rational Expressions https://youtu.be/zBjjL-17ItU Oblique/Slant Asymptotes http://youtu.be/_RqGepzTfnM Please donate to assist us in bringing the world more free videos through our YouTube Channel using the link: http://www.tutormemath.net/free-tutorials.html This Donation button is secured using PayPal. www.TutorMeMath.net www.facebook.com/FortBendTutoring www.twitter.com/FtBendTutoring
Views: 22318 Fort Bend Tutoring
This lesson on algebra shows you how to find the horizontal and vertical asymptote of a given rational function by solving the denominator and applying the properties of the horizontal asymptote
Views: 6713 Numberbender
This video explains how to determine the x-intercepts, y-intercepts, vertical asymptotes, and horizontal asymptote of a rational function. Site: http://mathispower4u Blog: http://mathispower4u.wordpress.com
Views: 128324 Mathispower4u
In this video we look at a rational function and identify its domain, identify its vertical asymptotes and determine whether or not it has a hole. Check out my website,http://www.drphilsmathvideos.com, it has all my videos plus some online lessons you can try!
Views: 153786 DrPhilClark