Q 17. - Precalculus Enhanced with Graphing Utilities

Question

Determine whether the function is one-to-one $\left\{\left(0,0\right), \left(1,1\right), \left(2,16\right), \left(3,81\right)\right\}$

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

 $0$                         $0$

  $1$                         $1$

 $2$                       $16$

 $3$                        $81$

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