Consider the function f(x) = x2 - 9 (a) Find the domain of f. (Enter your answer using interval notation.) (-00, – 3) U (-3,3)U(3,00) (b) Find the intervals on which fis increasing. (Enter your answer as a comma-separated list of intervals.) (-00,0) Find the intervals on which f is decreasing. (Enter your answer as a comma-separated list of intervals.) (0,00) (c) Find the open intervals on which f is concave up. (Enter your answer as a comma-separated list of intervals.) (-3,3) Find the open intervals on which f is concave down. (Enter your answer as a comma-separated list of intervals.) (-00, - 3) U (3,00) (d) Find the vertical asymptotes of f. smaller x-value X = -3 larger x-value

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Consider the function f(x) =
x2 - 9
(a) Find the domain of f. (Enter your answer using interval notation.)
(-00, – 3) U (-3,3)U(3,00)
(b) Find the intervals on which f is increasing. (Enter your answer as a comma-separated list of intervals.)
(-00,0)
Find the intervals on which f is decreasing. (Enter your answer as a comma-separated list of intervals.)
(0,00)
(c) Find the open intervals on which f is concave up. (Enter your answer as a comma-separated list of intervals.)
(-3,3)
Find the open intervals on which f is concave down. (Enter your answer as a comma-separated list of intervals.)
(-00, - 3) U (3,00)
(d) Find the vertical asymptotes of f.
smaller x-value
X =
-3
larger x-value
3
X =
Transcribed Image Text:Consider the function f(x) = x2 - 9 (a) Find the domain of f. (Enter your answer using interval notation.) (-00, – 3) U (-3,3)U(3,00) (b) Find the intervals on which f is increasing. (Enter your answer as a comma-separated list of intervals.) (-00,0) Find the intervals on which f is decreasing. (Enter your answer as a comma-separated list of intervals.) (0,00) (c) Find the open intervals on which f is concave up. (Enter your answer as a comma-separated list of intervals.) (-3,3) Find the open intervals on which f is concave down. (Enter your answer as a comma-separated list of intervals.) (-00, - 3) U (3,00) (d) Find the vertical asymptotes of f. smaller x-value X = -3 larger x-value 3 X =
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