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:$\left\{-243,-32,-1,0,1,32,243\right\}$

Step-by-step solution

Step 1. Given Information

We have,

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

Each $x-$value is matched with only one $x^5-$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.

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

Part c) Step 4. The range of the relation

The range of the set of all $x^5-$values in the relation

The range is:$-243,-32,-1,0,1,32,243$