Consider f(x)=ax​, where a>1.Answer the following parts in order. 127. Is f a​ one-to-one function? If​ so, what kind of related function exists for​ f? 128. If f has an inverse function​, sketch f and f -1 on the same set of axes. 129. If f -1 ​exists, find an equation for y=f -1​(Do not solve for​ y.) 130. If a=​10, what is the equation for y=f -1?​(Do not solve for​ y.) 131. If a=e​, what is the equation for y=f -1?​(Do not solve for​ y.) 132. If the point​ (p,q) is on the graph of​ f, then the point​ _____ is on the graph of f -1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
Question
Consider f(x)=ax​, where a>1.
Answer the following parts in order.
127. Is f a​ one-to-one function? If​ so, what kind of related function exists for​ f?
128. If f has an inverse function​, sketch f and f -1 on the same set of axes.
129. If f -1 ​exists, find an equation for y=f -1
​(Do not solve for​ y.)
130. If a=​10, what is the equation for y=f -1?
​(Do not solve for​ y.)
131. If a=e​, what is the equation for y=f -1?
​(Do not solve for​ y.)
132. If the point​ (p,q) is on the graph of​ f, then the point​ _____ is on the graph of f -1
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