7. Sketch the graph of a function that satisfies all of the given conditions. f '(0) = f '(2) = f'(4) = 0, f '(x) > 0 if x < O or 2 < x < 4, -5- f'(x) < 0 if 0 < x < 2 or x > 4, -4- f"(x) > 0 if 1 < x < 3, f"(x) < 0 if x < 1 or x > 3 -6 -4 -3 -2 -1 0 3 4 7 -1 -2 -3 -4 -5-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 54E
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7. Sketch the graph of a function that satisfies all of the given conditions.
f '(0) = f '(2)
f'(4) =
= 0,
9-
f '(x) > 0 if x < O or 2 < x < 4,
-5-
f '(x) < 0 if 0 < x < 2 or x > 4,
-4
-3-
f "(x) > 0 if 1 < x < 3,
-2-
-1
f "(x) < 0 if x < 1 or x > 3
-6
-5
-3
-2
4
6
-1
-2
-3
-4
-5
Transcribed Image Text:7. Sketch the graph of a function that satisfies all of the given conditions. f '(0) = f '(2) f'(4) = = 0, 9- f '(x) > 0 if x < O or 2 < x < 4, -5- f '(x) < 0 if 0 < x < 2 or x > 4, -4 -3- f "(x) > 0 if 1 < x < 3, -2- -1 f "(x) < 0 if x < 1 or x > 3 -6 -5 -3 -2 4 6 -1 -2 -3 -4 -5
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