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Chapter 5: Q 5. (page 267)

If $x_{1}$ and $x_{2}$ are two different inputs of a function $f$ , then $f$ is one-to-one if $\dots \dots$

Short Answer

Expert verified

If $x_{1}$ and $x_{2}$ are two different inputs of a function $f$ , then $f$ is one-to-one if $f (x_{1}) = f (x_{2})$ .

Step by step solution

01

Step 1. Definition

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

02

Step 2. Explanation

If $x_{1}$ and $x_{2}$ are two different inputs of a function $f$ , then $f$ is one-to-one if $f (x_{1}) = f (x_{2})$ .

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