Q1. - Algebra 1

Question

Examples 1 and 3 Determine whether each relation is a function. Explain.

Step-by-Step Solution

Answer

The given relation is a function.

Step 1. Interpret the relation.

In the given relation domain is nothing but the input (x) of the function and range is output (y).

Step 2. Concept of function in terms of domain and range.

A function is defined as every domain or input having one specific range of output.

Step 3. Relation between input and output.

In the given relation every domain has one range or every input has one output. Input and output relation is given below:

$\begin{array}{l}f\left(-4\right)=-1\\ f\left(-2\right)=4\\ f\left(0\right)=-1\\ f\left(2\right)=1\\ f\left(4\right)=4\end{array}$

Thus, the given relation is a function.