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Identify which of the following functions is one-to-one, onto, and/or one-to-one correspondence. Assume that the following functions (#1 & #2) are the functions defined on the set of real numbers. 1. f = {(x,y) y = x -1} 2. g= {(x,y) | y = |x|}

Identify which of the following functions is one-to-one, onto, and/or one-to-one correspondence. Assume that the following functions (#1 & #2) are the functions defined on the set of real numbers. 1. f = {(x,y) y = x -1} 2. g= {(x,y) | y = |x|}

Calculus: Early Transcendentals
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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Identify which of the following functions is one-to-one, onto, and/or one-to-one correspondence. Assume that the following functions (#1 & #2) are the functions defined on the set of real numbers. 1. f = {(x,y) y = x -1} 2. g = {(x,y) | y = |x|} 3. f1:R→R, where f1 = {(x,y) | y = x³ - x} 4. f2:R R, defined by f2 = {(x,y) | y = x³} 5. g1:Z→Z, defined by g1 = {(x,y) | y = x} 6. g2:Z→Z+, defined by g2 = {(x,y) | y = 3x + 1} INT
Transcribed Image Text:Identify which of the following functions is one-to-one, onto, and/or one-to-one correspondence. Assume that the following functions (#1 & #2) are the functions defined on the set of real numbers. 1. f = {(x,y) y = x -1} 2. g = {(x,y) | y = |x|} 3. f1:R→R, where f1 = {(x,y) | y = x³ - x} 4. f2:R R, defined by f2 = {(x,y) | y = x³} 5. g1:Z→Z, defined by g1 = {(x,y) | y = x} 6. g2:Z→Z+, defined by g2 = {(x,y) | y = 3x + 1} INT
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