Question

How do you find the range of `f(x) = -x+4` for the domain `{-3 , -2, -1, 1}`?

Answer 1

See a solution process below:

Explanation:

The Domain normally represents the `x` values in an equation. Therefore, to find the range (which normally represents the `f(x)` values in an equation) we need substitute each value in the Domain and solve for `f(x)`. The set of answers obtained will for the Range:

For `x = -3`: `f(-3) = -(-3) + 4 = 3 + 4 = 7`

For `x = -2`: `f(-2) = -(-2) + 4 = 2 + 4 = 6`

For `x = -2`: `f(-1) = -(-1) + 4 = 1 + 4 = 5`

For `x = -2`: `f(1) = -1 + 4 = 3`

Range = {7, 6 , 5 , 3}