Q 14. - Precalculus Enhanced with Graphing Utilities

Question

Determine whether the function is one-to-one 

Step-by-Step Solution

Answer

No, the given function is not one-to-one

Step 1. Definition

A function is said to be one-to-one if any two different inputs in the domain correspond to two different outputs in the range.

Step 2. Explanation

In given function:

Input                   Output

Bob                      Karla

Dave                    Debra

John                    Phoebe

Chuck                  Phoebe

The given function is not one-to-one because there are two different inputs "Bob and Dave" that correspond to the same output "Phoebe"