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)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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