Question

Use the given domain D to find the range of each function:

h(x) = 2x^2-5 , D = {-3,-1,1,3}

Answer 1

Plug given domain in given function.
2x^2-5
When x = -3 --> y = 2(-3)^2-5 ---> y = 13
When x = -1 --> y = 2(-1)^2-5 ---> y = -3
When x = 1 --> y = 2(1)^2-5 ---> y = -3
When x = 3 --> y = 2(3)^2-5 ---> y = 13

So the range is {-3, 13}