Question

Use the mapping to

a) determine whether the relation is a function

b) find the domain of the function

c) find the range of the function.

Short answer

a) This is a function

b) The domain is: $\left\{-3,-2,-1,0,1,2,3\right\}$

c) The range is:$\left\{0,1,16,81\right\}$

Step-by-step solution

Step 1. Given Information

We have

Part a) Step 2. Determine the relation is a function

Each $x-$value is matched with only one $y-$value. So this relation is a function

Part b) Step 3.The domain of the relation

The domain is the set of all $x-$values in the relation.

This is domain is:$\left\{-3,-2,-1,0,1,2,3\right\}$

Part c) Step 4. The range of the function

The range is the set of all $y-$values in the relation.

The range is:role="math" localid="1644999067943" $\left\{0,10,16,81\right\}$