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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

Lectures

01:04

Determine if the given gra…

01:10

00:52

00:53

01:11

01:08

01:13

00:20

Determine whether the grap…

So if we want to determine if this is a 1 to 1 function, there's actually a couple of ways we go about doing it. The first is to notice that this is always increasing. So going from left to right, the values are always getting larger. So we know that if we have something always increasing, then this implies the function is 1 to 1. Um, another way we can go about it is by applying the horizontal line test. So if we were to apply the horizontal line test notice that is on Lee ever intersects once so And if it passes horizontal line test, then we also know it's 1 to 1 surpasses horizontal lying test. And so you don't necessarily need to do both of these. You could just use one of them to come to the conclusion of it being 1 to 1, Um, but just kind of apply both of the tests that we've learned so far.

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