(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.
(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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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