3. 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) is continuous for 0 ≤x≤8 c.) f(x) has an absolute maximum of 5 at x = 2 d.) f(x) has an absolute minimum of 0 at x = 8 e.) f'(x) is undefined at x = 5 f(x) + ← ++ 2 3 4 5 6 8 x function f(r) that has all of the following properties: 2 -2 -1 4+ 3 2 -1 -2+ -3+ -4 -5 + ๆ ๆ + 1 +7

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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3. 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) is continuous for 0 ≤x≤8
c.) f(x) has an absolute maximum of 5 at x = 2
d.) f(x) has an absolute minimum of 0 at x = 8
e.) f'(x) is undefined at x = 5
↑f(x)
5.
4
3
2.
3
4
5
6
7
8
x
-1
-2+
-3+
-4+
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
-2
-1
2
Transcribed Image Text:3. 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) is continuous for 0 ≤x≤8 c.) f(x) has an absolute maximum of 5 at x = 2 d.) f(x) has an absolute minimum of 0 at x = 8 e.) f'(x) is undefined at x = 5 ↑f(x) 5. 4 3 2. 3 4 5 6 7 8 x -1 -2+ -3+ -4+ 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 -2 -1 2
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