Question

How do you find the range of `f(x)=[3x-4]` if the domain is (0, 1, 2, 3)?

Answer 1

See a solution process below:

Explanation:

To find the range, substitute each value of the domain into the formula and calculate the result:

For x = 0

`f(0) = [(3 xx 0) - 4]`

`f(0) = [0 - 4]`

`f(0) = -4`

For x = 1

`f(1) = [(3 xx 1) - 4]`

`f(1) = [1 - 4]`

`f(1) = -3`

For x = 2

`f(2) = [(3 xx 2) - 4]`

`f(2) = [6 - 4]`

`f(2) = 2`

For x = 3

`f(3) = [(3 xx 3) - 4]`

`f(3) = [9 - 4]`

`f(3) = 5`

Therefore, the Range is: `{-4, -3, 2, 5}`