Question

In the following exercises, use the mapping to (a) determine whether the relation is a function, (b) find the domain of the function, and (c) find the range of the function.

Short answer

Part (a) This relation is a function.

Part (b) The domain is $\{-3,-2,-1,0,1,2,3\}$.

Part (c) The range is $\{0,1,4,9\}$.

Step-by-step solution

Part (a) Step 1.

No number has two squares. So each x-value is matched with only one y-value. So this relation is a function.

Part (b) Step 1.

The domain is the set of all x-values in the relation. The domain is: $\{-3,-2,-1,0,1,2,3\}$.

Part (c) Step 1.

The range is the set of all y-values in the relation. The range is: $\{0,1,4,9\}$.