3. For the following rational functions, state where each function is undefined, function is equal to zero, and fill in the blanks provided. State which of these have asymptotes and whether they are vertical or horizontal. 2x+3 f(x) = x-1 Asymptotes: a. %3D As x -00, f(x) → As x +o, f (x) - Undefined at x=: Zero at x=0: 3x2+2 b. f(x) = x2+1 Asymptotes: As x →-0o, f(x) →. As x → +o, f(x) Undefined at x=: Zero at x=0: x2-1 f(x) = Asymptotes: С. 2x2+3 As x → -00, f(x)→. As x +o, f(x)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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3. For the following rational functions, state where each function is undefined, where each
function is equal to zero, and fill in the blanks provided. State which of these graph
have asymptotes and whether they are vertical or horizontal.
2х+3
f(x) =
x-1
a.
Asymptotes:
As x →-0o, f(x) →
As x → +o, f (x) →
Undefined at x=:
Zero at x=0:
3x2+2
b.
f(x) =
x2+1
Asymptotes:
|3|
As x →-0o, f(x) →.
As x → +o, f (x) →
Undefined at x=:
Zero at x=0:
x2-1
f(x) =-
2x2+3
Asymptotes:
С.
As x → -00, f(x)→.
As x +0o, f(x) →,
Transcribed Image Text:3. For the following rational functions, state where each function is undefined, where each function is equal to zero, and fill in the blanks provided. State which of these graph have asymptotes and whether they are vertical or horizontal. 2х+3 f(x) = x-1 a. Asymptotes: As x →-0o, f(x) → As x → +o, f (x) → Undefined at x=: Zero at x=0: 3x2+2 b. f(x) = x2+1 Asymptotes: |3| As x →-0o, f(x) →. As x → +o, f (x) → Undefined at x=: Zero at x=0: x2-1 f(x) =- 2x2+3 Asymptotes: С. As x → -00, f(x)→. As x +0o, f(x) →,
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