1. [DA2] Consider the graph of the function f(x) defined over the interval [-5,7]. -5 -4 -5 -3 N 2 3 4 -1 O -1- a. Identify all points x where the global maximum value occurs. b. Identify all points x where the global minimum value occurs. c. Identify all points x where local maximum values occur. d. Identify all points x where local minimum values occur. e. Identify all critical points x where the derivative exists. f. Identify all critical points x where the derivative does not exist. g. Identify two points x where the derivative is negative. h. Identify two points x where the derivative is positive. 5 6 7
1. [DA2] Consider the graph of the function f(x) defined over the interval [-5,7]. -5 -4 -5 -3 N 2 3 4 -1 O -1- a. Identify all points x where the global maximum value occurs. b. Identify all points x where the global minimum value occurs. c. Identify all points x where local maximum values occur. d. Identify all points x where local minimum values occur. e. Identify all critical points x where the derivative exists. f. Identify all critical points x where the derivative does not exist. g. Identify two points x where the derivative is negative. h. Identify two points x where the derivative is positive. 5 6 7
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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Question
![Uses calculus to arrive at the answer, not graphical or numerical estimates or
guesses.
• One or two small arithmetic mistakes may be accepted if it does not significantly
alter the problem's intent.
1. [DA2] Consider the graph of the function f(x) defined over the interval [-5,7].
5
4
3
N
-1 0 1 2 3 4 5 6 7
-1-
-2
-5-4
2
1
a. Identify all points x where the global maximum value occurs.
b. Identify all points x where the global minimum value occurs.
Math 2413: Worksheet 16
c. Identify all points x where local maximum values occur.
d. Identify all points x where local minimum values occur.
e. Identify all critical points x where the derivative exists.
f. Identify all critical points x where the derivative does not exist.
g. Identify two points x where the derivative is negative.
h. Identify two points x where the derivative is positive.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2520b812-525d-4e41-8284-fedc3da2dbae%2F6b88a545-869a-420d-b2cb-fab12ea528cb%2F1vk0eu_processed.png&w=3840&q=75)
Transcribed Image Text:Uses calculus to arrive at the answer, not graphical or numerical estimates or
guesses.
• One or two small arithmetic mistakes may be accepted if it does not significantly
alter the problem's intent.
1. [DA2] Consider the graph of the function f(x) defined over the interval [-5,7].
5
4
3
N
-1 0 1 2 3 4 5 6 7
-1-
-2
-5-4
2
1
a. Identify all points x where the global maximum value occurs.
b. Identify all points x where the global minimum value occurs.
Math 2413: Worksheet 16
c. Identify all points x where local maximum values occur.
d. Identify all points x where local minimum values occur.
e. Identify all critical points x where the derivative exists.
f. Identify all critical points x where the derivative does not exist.
g. Identify two points x where the derivative is negative.
h. Identify two points x where the derivative is positive.
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