Question

What is the range of the function `f(x) = x^2 + 3` if the domain is {-3, 0, 3}?

Answer 1

range `{3,12}`

Explanation:

If the domain is restricted to `{-3, 0, 3}` then we need to evaluate each term in the domain to find the range:

`f(x) = x^2 + 3`

`f(-3) = x^2 + 3= (-3)^2 + 3=12`

`f(0) = x^2 + 3= 0^2 + 3=3`

`f(3) = x^2 + 3= 3^2 + 3=12`

So the range is `{3,12}`