Sketch (on your work paper) the graph of a single continuous function f(x) that meets all the following conditions. Do not input anything in the answer box below. ● ● f'(x) = 0 for x = f'(x) is undefined for x = 7 f'(x)> 0 for 4 < x < 3 and x > 7 f'(x) < 0 for x < -4 and 3 < x < 7 ƒ''(x) 0 for x 2 = f''(x) is undefined for x = 7 f''(x) > 0 for x < -2 f''(x) < 0 for 2 < x < 7 and x > 7 -4, x = 3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Sketch (on your work paper) the graph of a single continuous function f(x) that meets all the following
conditions. Do not input anything in the answer box below.
●
●
●
f'(x)
3
=
0 for x =
- 4, x =
f'(x) is undefined for x = 7
f'(x) > 0 for 4 < x < 3 and x > 7
f'(x) < 0 for x <
- 4 and 3 < x < 7
ƒ''(x)
0 for x =
- 2
f''(x) is undefined for x = 7
f''(x) > 0 for x < − 2
f''(x) < 0 for −2 < x < 7 and x > 7
=
Transcribed Image Text:Sketch (on your work paper) the graph of a single continuous function f(x) that meets all the following conditions. Do not input anything in the answer box below. ● ● ● f'(x) 3 = 0 for x = - 4, x = f'(x) is undefined for x = 7 f'(x) > 0 for 4 < x < 3 and x > 7 f'(x) < 0 for x < - 4 and 3 < x < 7 ƒ''(x) 0 for x = - 2 f''(x) is undefined for x = 7 f''(x) > 0 for x < − 2 f''(x) < 0 for −2 < x < 7 and x > 7 =
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