4x° + 26x2 + 30x Consider the function f(x) = x³ + 5x? (a) Evaluate lim f(x) and lim f(x), then identify the horizontal asymptotes. X- 00 (b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x).

4x° + 26x2 + 30x Consider the function f(x) = x³ + 5x? (a) Evaluate lim f(x) and lim f(x), then identify the horizontal asymptotes. X- 00 (b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 24SBE: Horizontal Asymptotes Find all the horizontal asymptotes of y=2x2+1x21.

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Question

4x° + 26x2 + 30x
Consider the function f(x) =
x3 + 5x2
(a) Evaluate lim f(x) and lim f(x), then identify the horizontal asymptotes.
X- 00
(b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x).
x-a*
x-a

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