End Behavior Graph the rational function f, and determine all vertical asymptotes from your graph. Then graph f and g in a sufficiently large viewing rectangle to show that they have the same end behavior.
80.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Precalculus: Mathematics for Calculus (Standalone Book)
- DISCUSS: A Rational Function with No Asymptote Explain how you can tell without graphing it that the function r(x)=x6+10x4+8x2+15 has no x-intercept and no horizontal, vertical, or slant asymptote. What is its end behavior?arrow_forwardGraphing Rational Functions Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the domain and range. Use a graphing device to conform your answer. s(x)=x2+8x18x28x+16arrow_forwardFind the vertical asymptotes and removable discontinuitiesof the graph of f(x)=x225x36x2+5x.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning