Swing graphs show the derivative of f and f" Identify the intervals when f is increasing and decreasing, intervals of concavity, points of inflection and where a maximum or minimum value will be. State why you know this to be true. a. b. f'(x) 4fy f"(x) 3+ 1+ + /2 3 4 3. 4 Local Max: Local Min: Local Max: Local Min: Increasing: Decreasing: Increasing: Decreasing: Concave up: Concave down: Concave up: Concave down: Points of inflection: Points of inflection:

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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1. The following graphs show the derivative of f' and f" Identify the intervals when f is increasing and decreasing,
intervals of concavity, points of inflection and where a maximum or minimum value will be. State why you know this
to be true.
WIW
a.
4y
b.
f'(x)
3+
4fy
f"(x)
3+
2-
1-
-1+
X
Local Max:
Local Min:
Local Max:
Local Min:
Increasing:
Decreasing:
Increasing:
Decreasing:
Concave up:
Concave down:
Concave up:
Concave down:
Points of inflection:
Points of inflection:
Transcribed Image Text:1. The following graphs show the derivative of f' and f" Identify the intervals when f is increasing and decreasing, intervals of concavity, points of inflection and where a maximum or minimum value will be. State why you know this to be true. WIW a. 4y b. f'(x) 3+ 4fy f"(x) 3+ 2- 1- -1+ X Local Max: Local Min: Local Max: Local Min: Increasing: Decreasing: Increasing: Decreasing: Concave up: Concave down: Concave up: Concave down: Points of inflection: Points of inflection:
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