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
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 7CA
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57584f68-8354-478d-805f-e7229aa75bb6%2Ff29e3758-02ec-4724-8550-6324f1eb8b14%2F171widb_processed.png&w=3840&q=75)
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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