Determine the domain and range for the relation. S={(x,y)∣∣x∈ℝ and y∈ℤ}

Question

Determine the domain and range for the relation.

S={(x,y)∣∣x∈ℝ and y∈ℤ}

Answer 1

The domain is simply all the values that x can take and the range is all the values that f(x) or (x,y) can take. Since x can take on any value from R and y can take on any value from z, we can select any pair of points from R x Z, which is the domain. Since we don't do anything to them, the range is the same as the domain.