Answer
a function
Domain: $\{\text{Elvis},\text{Colleen},\text{Kaleigh},\text{Marissa}\}$
Range: $\{\text{Jan. 8},\text{Mar. 15},\text{Sept. 17}\}$.
Work Step by Step
A relation is a function if for all $x$ values there is exactly one corresponding $y$ value.
The domain is the set of values the function can take and the range is the set of values which the function “produces” from the values of the domain.
The given relation is a function because for each value in the first set, there is only one corresponding value in the second set.
The given function has:
Domain: $\{\text{Elvis},\text{Colleen},\text{Kaleigh},\text{Marissa}\}$
Range: $\{\text{Jan. 8},\text{Mar. 15},\text{Sept. 17}\}$.