Let f(x) = 2x - 1 3x + 2 a. Find the domain of the function. b. Find the y-intercepts, if any. c. Find the x-intercepts, if any.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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Problem 3: Let f(x)
=
2x - 1
3x + 2
a. Find the domain of the function.
b. Find the y-intercepts, if any.
c. Find the x-intercepts, if any.
d. Find all vertical asymptotes of f(x), if any.
e. Find all horizontal asymptotes of f(x), if any.
f. Sketch the graph of the function. Include intercepts, asymptotes (if any), and two additional
points.
Transcribed Image Text:Problem 3: Let f(x) = 2x - 1 3x + 2 a. Find the domain of the function. b. Find the y-intercepts, if any. c. Find the x-intercepts, if any. d. Find all vertical asymptotes of f(x), if any. e. Find all horizontal asymptotes of f(x), if any. f. Sketch the graph of the function. Include intercepts, asymptotes (if any), and two additional points.
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