Answer: No it is not a function
The reason why is because x = 0 goes to multiple y outputs (y = 1 and y = 3 at the same time).
A function can only have one output for any given input.
Side note: Domain = {-2, 0, 5, 7} is the list of x values. Range = {1,3,5,8} is the list of y values.
