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1. Determine whether or not the following relations are functions. If the given relation is a function, identify the domain and range of the function, and determine further whether or not the function is one-to-one. If the function is one-to-one, find its inverse, and use your answer to verify Theorem 2 (Inverse Functions). Show complete solutions. If the given relation is not a function or if the function is not one-to-one, show a contradiction. 13. y = |x| 14. I 15. y = : 1, where x > 0 = [ { x + ² if x ≥ 3 |-(4x+8)² ifx < − 3

1. Determine whether or not the following relations are functions. If the given relation is a function, identify the domain and range of the function, and determine further whether or not the function is one-to-one. If the function is one-to-one, find its inverse, and use your answer to verify Theorem 2 (Inverse Functions). Show complete solutions. If the given relation is not a function or if the function is not one-to-one, show a contradiction. 13. y = |x| 14. I 15. y = : 1, where x > 0 = [ { x + ² if x ≥ 3 |-(4x+8)² ifx < − 3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.7: Functions
Problem 60PFA
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1. Determine whether or not the following relations are functions. If the given relation is a function, identify the domain and range of the function, and determine further whether or not the function is one-to-one. If the function is one-to-one, find its inverse, and use your answer to verify Theorem 2 (Inverse Functions). Show complete solutions. If the given relation is not a function or if the function is not one-to-one, show a contradiction. 13. y = |x| 14. 15. y = = 1, where x ≥ 0 if x ≥ 3 √ √ ² x + ²/² |-(4x+8)² if x < −3
Transcribed Image Text:1. Determine whether or not the following relations are functions. If the given relation is a function, identify the domain and range of the function, and determine further whether or not the function is one-to-one. If the function is one-to-one, find its inverse, and use your answer to verify Theorem 2 (Inverse Functions). Show complete solutions. If the given relation is not a function or if the function is not one-to-one, show a contradiction. 13. y = |x| 14. 15. y = = 1, where x ≥ 0 if x ≥ 3 √ √ ² x + ²/² |-(4x+8)² if x < −3
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