{(-3, 0), (-1, 1), (0, 1), (4, 5), (0, 6)}

Question

a) determine the domain and range.
b) find if it’s a function. Justify your answer in 1-2 sentences.

My answers:
a) domain: {-3,-1,0,4,0}
range: {0,1,1,5,6}

b) Not a function

Answer 1

when listing set elements, don't list duplicates. The correct sets are
domain: {-3,-1,0,4}
range: {0,1,5,6}
Consider something like y=x^3-x. y=0 occurs several times, yet the range is just all real numbers. No need to mention explicitly those that occur more than once.

and you are correct -- it is not a function.