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Suppose that f(x) (x+9)(x-8)2. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (d) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.) (e) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.) (f) Find all partition numbers of f"(x). (Enter your answers as a comma-separated list.) (g) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (h) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (i) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list.) x

Suppose that f(x) (x+9)(x-8)2. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (d) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.) (e) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.) (f) Find all partition numbers of f"(x). (Enter your answers as a comma-separated list.) (g) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (h) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (i) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list.) x

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 14E
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Suppose that f(x) (x+9)(x-8)2. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (d) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.) (e) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.) (f) Find all partition numbers of f"(x). (Enter your answers as a comma-separated list.) (g) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (h) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (i) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list.) x
Transcribed Image Text:Suppose that f(x) (x+9)(x-8)2. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (d) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.) (e) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.) (f) Find all partition numbers of f"(x). (Enter your answers as a comma-separated list.) (g) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (h) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (i) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list.) x
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