Q 5. - Precalculus Enhanced with Graphing Utilities

Question

If $x_1$ and $x_2$ are two different inputs of a function $f$, then $f$ is one-to-one if $\dots \dots$

Step-by-Step Solution

Answer

If $x_1$ and $x_2$ are two different inputs of a function $f$, then $f$ is one-to-one if$f\left(x_1\right)=f\left(x_2\right)$.

Step 1. Definition

A function is said to be one-to-one if each input has exactly one and unique output.

Step 2. Explanation

If $x_1$ and $x_2$ are two different inputs of a function $f$, then $f$ is one-to-one if $f\left(x_1\right)=f\left(x_2\right)$.