Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Determine if the given graph represents a one-to-one function.

Yes

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 1

Inverse Functions

Campbell University

McMaster University

Idaho State University

Lectures

01:04

Determine if the given gra…

00:52

00:53

01:11

01:08

01:13

00:20

Determine whether the grap…

So if we want to determine if a function is one toe one, essentially, we want to make sure that if we have any two outputs that are the same, then their inputs are also the same. Since when I actually given the function here, there's two ways we can go about this. We could either just look at this and make the observation that this is always increasing, which implies it is one toe one, because that's one of our types of functions. That they tell us is 1 to 1 is a function that is always increasing. Or we can apply the horizontal line test because knows if we apply the horizontal line test Noticed this on Lee intersects what's so you can say it's always increasing or passes horizontal line. Yeah, Either of these would be valid reasons to say that this here is going to be a 1 to 1 function

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:36

Determine where the function is concave upward and downward, and list all in…

01:24

Use $\log 2=0.3010$ and $\log 5=0.6990$ and the properties of logarithms to …

01:07

Find $x$.$$\log _{4} x=-2$$

02:22

Sketch the graph of the function defined by the given equation.$$y=f(x)=…

03:25

Determine whether or not the function determined by the given equation is on…

Sketch a function satisfying the sign diagrams given in Figures 29 a and $29…

01:27

04:40

Use linearization to approximate the given quantity. In each case determine …

Determine the equation of the inverse function.$$f(x)=2 x+1$$

02:44

Use the first and second derivatives to sketch the graph of the given equati…