(a) The graph below is the derivative of f(x), but you are answering questions about the parent function, f(x). -8 -6 -2 2 0 i. For which x-values is f(x) increasing? (Use intervals) ii. For which r-values is f(x) decreasing? iii. For which x-values is f(x) concave up? v. List all the critical points of f(x). iv. For which x-values is f(x) concave down? 2 vi. Identify a critical point that gives a local maximum and explain how you know there is a maximum using the first derivative test. vii. Identify a critical point that gives a local minimum and explain how you know there is a minimum using the second derivative test.

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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(a) The graph below is the derivative of f(x), but you are answering questions about the parent
function, f(x).
-8
-6
-2
0
ii. For which x-values is f(x) decreasing?
i. For which x-values is f(x) increasing? (Use intervals)
iii. For which x-values is f(x) concave up?
N
v. List all the critical points of f(x).
iv. For which x-values is f(x) concave down?
2
vi. Identify a critical point that gives a local maximum and explain how you know there is
a maximum using the first derivative test.
vii. Identify a critical point that gives a local minimum and explain how you know there is
a minimum using the second derivative test.
Transcribed Image Text:(a) The graph below is the derivative of f(x), but you are answering questions about the parent function, f(x). -8 -6 -2 0 ii. For which x-values is f(x) decreasing? i. For which x-values is f(x) increasing? (Use intervals) iii. For which x-values is f(x) concave up? N v. List all the critical points of f(x). iv. For which x-values is f(x) concave down? 2 vi. Identify a critical point that gives a local maximum and explain how you know there is a maximum using the first derivative test. vii. Identify a critical point that gives a local minimum and explain how you know there is a minimum using the second derivative test.
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