Q 13. - 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

$20$ Hours                  $\$200$

$25$ Hours                  $\$200$

$30$ Hours                  $\$350$

$40$ Hours                  $\$425$

The given function is not one-to-one because there are two different inputs " $20$ Hours and $25$ Hours" that correspond to the same output "$\$200$".