Question

How do you find the range of `y = 3x-5`: given Domain = {0, 1, 2, 3}?

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 `y` values in an equation) we need substitute each value in the Domain and solve for `y`. The set of answers obtained will for the Range:

For `x = 0`: `y = (3 * 0) - 5 = 0 - 5 = -5`

For `x = 1`: `y = (3 * 1) - 5 = 3 - 5 = -2`

For `x = 1`: `y = (3 * 2) - 5 = 6 - 5 = 1`

For `x = 1`: `y = (3 * 3) - 5 = 9 - 5 = 4`

Range = {-5, -2, 1, 4}