Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - Chapter Review - Review Exercises - Page 345: 7

Answer

(a) Each $x$ or first coordinate is paired with a unique $y$ or second coordinate and all the $y$ values or second coordinates are distinct therefore the function is one-to-one. (b) The inverse is $\{(2,1), (5,3), (8,5), (10,6)\}.$

Work Step by Step

(a) Since for each $x$ or first coordinate there is a unique $y$ or second coordinate, and all the second coordinates are distinct, then the given function is one-to-one. (b) The inverse of the given function can be found by interchanging the $x$ and $y$ coordinates (or first and second coordinates) of each point (ordered pair). Hence, the inverse is $\{(2,1), (5,3), (8,5), (10,6)\}.$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.