Q 11. - Precalculus Enhanced with Graphing Utilities

Question

Determine whether the function is one-to-one 

Step-by-Step Solution

Answer

Yes, the given function is 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                      $\$300$

$30$ Hours                      $\$350$

$40$ Hours                      $\$425$

The given function is one-to-one because there are no distinct inputs that correspond to the same output