4. Sketch the graph of one function f(x) that has all of the following properties: a.) The domain of f(x) is [0, 8] b.) f(x) has an absolute maximum at x = 5 and at x = 8 c.) f(x) has an absolute minimum at x = 1 d.) f'(3) = 0 f(x) + + + 2 3 4 5 6 7 8 ++ -2 -1 5+ 4 3+ 2- -1 -2- -3- -4 1 →→ x

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 5ECP
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Question
-2
7 8 x
st
4. Sketch the graph of one function f(x) that has all of the following properties:
a.) The domain of f(x) is [0, 8]
b.) f(x) has an absolute maximum at x = 5 and at x = 8
c.) f(x) has an absolute minimum at x = 1
d.) f'(3) = 0
↑f(x)
+
+
5
7
-2
T
-1
5+
4+
3+
2+
1+
-1+
-2+
-3
-4-
-5
1
2
3
4
+
6
8
x
Transcribed Image Text:-2 7 8 x st 4. Sketch the graph of one function f(x) that has all of the following properties: a.) The domain of f(x) is [0, 8] b.) f(x) has an absolute maximum at x = 5 and at x = 8 c.) f(x) has an absolute minimum at x = 1 d.) f'(3) = 0 ↑f(x) + + 5 7 -2 T -1 5+ 4+ 3+ 2+ 1+ -1+ -2+ -3 -4- -5 1 2 3 4 + 6 8 x
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