# The correct option so that the statement “A function f is one-to-one means _ _ _ _ _ _ _ .” is complete.

### Study Guide for Stewart's Single V...

8th Edition
Stewart + 3 others
Publisher: Cengage Learning
ISBN: 9781305279148

### Study Guide for Stewart's Single V...

8th Edition
Stewart + 3 others
Publisher: Cengage Learning
ISBN: 9781305279148

#### Solutions

Chapter 1.5, Problem 1PT
To determine

## The correct option so that the statement “A function f is one-to-one means _______.” is complete.

Expert Solution

The correct option is c_.

### Explanation of Solution

Result used:

“A function f is one-to-one means that for all x1,x2 in the domain of f, if x1x2, then f(x1)f(x2).”

Description:

Suppose that the function f(x) is one-to-one.

Note that a function is one-to-one if no two elements in the domain of the function correspond to the same element in the range.

Clearly, by the above result, if x1x2, then f(x1)f(x2).

Therefore, the correct option is c_.

### Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

### Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!