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 <0 or 2 < x < 4, f'(x) < 0 if 0 < x < 2 or x > 4, f"(x) > 0 if 1 < x < 3, f"(x) < 0 if x < 1 or x > 3 y y 6 MN Wm 4 6 Ⓡ

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Can you explain how to find each of these conditions on the graph?

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 <0 or 2 < x < 4,
f'(x) < 0 if 0 < x < 2 or x > 4,
f"(x) > 0 if 1 < x < 3,
f"(x) < 0 if x < 1 or x > 3
y
6
2
4
MN W
4
y
2
6
2
4
Ⓡ
-2
y
2
4
6
X
Transcribed Image Text: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 <0 or 2 < x < 4, f'(x) < 0 if 0 < x < 2 or x > 4, f"(x) > 0 if 1 < x < 3, f"(x) < 0 if x < 1 or x > 3 y 6 2 4 MN W 4 y 2 6 2 4 Ⓡ -2 y 2 4 6 X
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