Remember that
The data set is a function if every element of the domain corresponds to exactly one element of the range
In this problem
element of the domain is the input -----> is the animal
element of the range is the output ----> the morning meal
The problem says that
"Each animal has a very specific morning diet. It can be the same for some animals"
but each animal doesn't have two different morning meal
that means
Yes, the relation is a function