Question

Determine whether each relation represents a function. For each function, state the domain and range.

Short answer

The domain of the function is $\{\mathrm{Elvis},\mathrm{Colleen},\mathrm{Kaleigh},\mathrm{Marissa}\}$and range is$\{\mathrm{Jan}.8,\mathrm{Mar}.15,\mathrm{Sept}.17\}$.

Step-by-step solution

Step 1. Given Information

In the given question we have to determine whether each relation represents a function and for each function, we have to state the domain and range.

Step 2. The relation in Figure is a function because each element in the domain corresponds to exactly one element in the range.

The domain of the function is$\{\mathrm{Elvis},\mathrm{Colleen},\mathrm{Kaleigh},\mathrm{Marissa}\}$

Step 3. The set of all images of the elements in the domain is called the range of the function.

The range of the function is $\{\mathrm{Jan}.8,\mathrm{Mar}.15,\mathrm{Sept}.17\}$

It is okay for more than one element in the domain to correspond to the same element in the range.