Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) := -1.yyy2111-1123-11-1134-1-1-2--2-y2--11234-1|- 2-

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Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y 3 4

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

Section3.5: Graphical Differentiation

Problem 2YT

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Question

Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) :
= -1.
y
y
y
2
1
1
1
-1
1
2
3
-1
1
-1
1
3
4
-1
-1
-2-
-2-
y
2-
-1
1
2
3
4
-1|
- 2-

Expert Solution

Step 1

The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).

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