Answered: 5. Find the domain (D), all asymptotes…

5. Find the domain (D), all asymptotes (VA, HA, or OA), and the holes (if any) on the graph of each function. a. f(x) = x2+10x+21 %3D x-3 b. f(x) = 2x2-6x-8 %3D x2+3x+2

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.CR: Chapter Review

Problem 13CC

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Question

ation of the rational function.
5.
Find the domain (D), all asymptotes (VA, HA, or OA), and the holes (if any) on the graph of each function.
a. f(x) = 10x+21
X-3
2x2-6x-8
b. f(x) =
x2+3x+2
6x-18
c. f(x)%3D
x²+5x-14

Expert Solution

Step 1

Given

$a) f (x) = \frac{x^{2} + 10 x + 21}{x - 3} b) f (x) = \frac{2 x^{2} - 6 x - 8}{x^{2} + 3 x + 2} c) f (x) = \frac{6 x - 18}{x^{2} + 5 x - 14}$

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