5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) < 0 and f'(-2) > 0 b.) f(0) 0 and f'(0) = 0 c.) f(2) >0 and f'(2) >0 f(x) + -3 x T + N 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Sketch the graph of one function f(x) that has all of the following properties:
a.) f(-2) < 0 and f'(-2) > 0
b.) f(0) 0 and f'(0) = 0
c.) f(2) >0 and f'(2) >0
↑f(x)
1
2
6. Sketch the graph of one function f(x) that has all of the following properties:
a.) f(x) > 0 for all values of x
b.) f'(x) < 0 for all values of x
↑f(x)
-3
-2
3
4
-1
2
Transcribed Image Text:5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) < 0 and f'(-2) > 0 b.) f(0) 0 and f'(0) = 0 c.) f(2) >0 and f'(2) >0 ↑f(x) 1 2 6. Sketch the graph of one function f(x) that has all of the following properties: a.) f(x) > 0 for all values of x b.) f'(x) < 0 for all values of x ↑f(x) -3 -2 3 4 -1 2
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