Q 15. - Precalculus Enhanced with Graphing Utilities

Question

Determine whether the function is one-to-one $\left\{\left(2,6\right), \left(-3,6\right), \left(4,9\right), \left(1,10\right)\right\}$

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

  $2$                         $6$

$-3$                        $6$

  $4$                         $9$

  $1$                        $10$

The given function is not one-to-one because there are two different inputs "$2$ and $-3$" that correspond to the same output "$6$".