Q 16. - Precalculus Enhanced with Graphing Utilities

Question

Determine whether the function is one-to-one $\left\{\left(-2,5\right), \left(-1,3\right), \left(3,7\right), \left(4,12\right)\right\}$

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

$-2$                     $5$

$-1$                     $3$

   $3$                     $7$

   $4$                    $12$

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