Let f(x) = 9x5 - 7x5. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) 35 x = 0, 54 (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (-∞0, 0) u ( 35,00) X (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) 35 (O.) 54 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Please answer questions with x’s
Let f(x) = 9x67x5. (If an answer does not exist, enter DNE.)
(a) Find all critical values of f(x). (Enter your answers as a comma-separated list.)
35
54
XI 0.
(b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.)
(-∞0, 0) u ( 35,00)
U
(c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.)
(0, 35)
54
X
(d) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.)
X = ∞, -∞ X
X =
X
(e) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.)
35
54
(f) Find all partition numbers of f"(x). (Enter your answers as a comma-separated list.)
7
x = 0,
18
X
(g) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.)
14
(-00, 0) (#00)✓
U
27
x = 0, -
(h) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.)
(0, 11)
(i) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list.)
3764768
43046721
Transcribed Image Text:Let f(x) = 9x67x5. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) 35 54 XI 0. (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (-∞0, 0) u ( 35,00) U (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (0, 35) 54 X (d) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.) X = ∞, -∞ X X = X (e) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.) 35 54 (f) Find all partition numbers of f"(x). (Enter your answers as a comma-separated list.) 7 x = 0, 18 X (g) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) 14 (-00, 0) (#00)✓ U 27 x = 0, - (h) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (0, 11) (i) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list.) 3764768 43046721
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