Given the graph of the derivative f', do the following a) Identify the critical numbers of f. 1.6 0.8 0.5 0.5 25 0.8 b) Determine whether f has a relative minimum, relative maximum or neither at each critical number. Clearly indicate your reasoning. c) Determine the intervals where f is increasing and decreasing. d) Determine the x-values of the possible points of inflection. You may need to approximate some values.

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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Given the graph of the derivative f' , do the
following
a) Identify the critical numbers
of f.
1.6
0.8
0.5
0.5
2.5
1.0
24t
b) Determine whether f has a relative minimum, relative maximum or neither at each critical
number. Clearly indicate your reasoning.
c) Determine the intervals where f is increasing and decreasing.
d) Determine the x-values of the possible points of inflection. You may need to approximate
some values.
c) Determine the intervals where f is concave upward and concave downward. You may
need to approximate some values.
Transcribed Image Text:Given the graph of the derivative f' , do the following a) Identify the critical numbers of f. 1.6 0.8 0.5 0.5 2.5 1.0 24t b) Determine whether f has a relative minimum, relative maximum or neither at each critical number. Clearly indicate your reasoning. c) Determine the intervals where f is increasing and decreasing. d) Determine the x-values of the possible points of inflection. You may need to approximate some values. c) Determine the intervals where f is concave upward and concave downward. You may need to approximate some values.
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