Q 18. - Precalculus Enhanced with Graphing Utilities

Question

Determine whether the function is one-to-one $\left\{\left(1,2\right), \left(2,8\right), \left(3,18\right), \left(4,32\right)\right\}$

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

 $1$                          $2$

 $2$                          $8$

 $3$                         $18$

 $4$                         $32$

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