4. Consider the function b(x) defined on [−3,3] pictured below. Let c(x) denote the restriction of b(x) to [−3, −2] (that is c(x) is the part of the graph of b(x) on [−3, −2]), let d(x) denote the restriction of b(x) to [−1, 1], and let f(x) denote the restriction of b(x) to [1,3]. Which of the following statements are true? • The range of f-1 is [1,3]. • The domain of d-1 is contained in [-100, 50]. • The range of d-1 is con- tained in [−1,2]. • The domain of c−1 con- tains the range of b. • The range of b contains the range of c. • None of the statements are true. 50 y -3 2 -1 1 2 -50 -100 -150 -200
4. Consider the function b(x) defined on [−3,3] pictured below. Let c(x) denote the restriction of b(x) to [−3, −2] (that is c(x) is the part of the graph of b(x) on [−3, −2]), let d(x) denote the restriction of b(x) to [−1, 1], and let f(x) denote the restriction of b(x) to [1,3]. Which of the following statements are true? • The range of f-1 is [1,3]. • The domain of d-1 is contained in [-100, 50]. • The range of d-1 is con- tained in [−1,2]. • The domain of c−1 con- tains the range of b. • The range of b contains the range of c. • None of the statements are true. 50 y -3 2 -1 1 2 -50 -100 -150 -200
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...
Related questions
Question
![4. Consider the function b(x) defined on [−3,3] pictured below. Let c(x) denote the restriction of b(x) to
[−3, −2] (that is c(x) is the part of the graph of b(x) on [−3, −2]), let d(x) denote the restriction of
b(x) to [−1, 1], and let f(x) denote the restriction of b(x) to [1,3]. Which of the following statements
are true?
• The range of f-1 is
[1,3].
• The domain of d-1 is
contained in [-100, 50].
• The range of d-1 is con-
tained in [−1,2].
• The domain of c−1 con-
tains the range of b.
• The range of b contains
the range of c.
• None of the statements
are true.
50 y
-3
2
-1
1
2
-50
-100
-150
-200](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37f94b85-b749-44e0-ace9-61f84e86612d%2F39061af2-b674-4015-9453-f15bed8fe092%2Fijfc4k9_processed.png&w=3840&q=75)
Transcribed Image Text:4. Consider the function b(x) defined on [−3,3] pictured below. Let c(x) denote the restriction of b(x) to
[−3, −2] (that is c(x) is the part of the graph of b(x) on [−3, −2]), let d(x) denote the restriction of
b(x) to [−1, 1], and let f(x) denote the restriction of b(x) to [1,3]. Which of the following statements
are true?
• The range of f-1 is
[1,3].
• The domain of d-1 is
contained in [-100, 50].
• The range of d-1 is con-
tained in [−1,2].
• The domain of c−1 con-
tains the range of b.
• The range of b contains
the range of c.
• None of the statements
are true.
50 y
-3
2
-1
1
2
-50
-100
-150
-200
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