Consider the function below. (If an answer does not exist, enter DNE.) f(x) = e5x + e-x %3D (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (b) Find the relative minimum value(s) of f. (Enter your answers as a comma-separated list.) (c) Find the interval(s) on which f is concave up. (Enter your answer using interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Consider the function below. (If an answer does not exist, enter DNE.)
f(x) = e5x + e-x
%3D
(a)
Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(b)
Find the relative minimum value(s) of f. (Enter your answers as a comma-separated list.)
(c)
Find the interval(s) on which f is concave up. (Enter your answer using interval notation.)
Transcribed Image Text:Consider the function below. (If an answer does not exist, enter DNE.) f(x) = e5x + e-x %3D (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (b) Find the relative minimum value(s) of f. (Enter your answers as a comma-separated list.) (c) Find the interval(s) on which f is concave up. (Enter your answer using interval notation.)
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