# The one-to-one function.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.6, Problem 1E

(a)

To determine

## To Explain: The one-to-one function.

Expert Solution

### Explanation of Solution

A function f is called one-to-one if every element of the range corresponds to exactly one element of the domain.

That is, f(x1)f(x2) whenever x1x2 or f(x1)=f(x2) whenever x1=x2 .

(b)

To determine

Expert Solution

### Explanation of Solution

Use horizontal line test to determine the graph is one-to-one.

A graph is one-to-one if and only if the graph of f intersects the horizontal line at most once.

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