Question

Find the range of the function below if the domain is {-1, 0, 2}

f(x)=1/2x-6

Answer 1

-13/2, -6, -5

Explanation:

Range of a function is the set of all elements obtained when we substitute different values of domain.

The function given here is:
`$ f(x) = (1)/(2) x - 6 $`

To get the range of the function we substitute the points in the domain.

x = -1

f(-1) =
`$ (-1)/(2) (-1) - 6 = (-1 -12)/(2)  = (-13)/(2) $`

x = 0

f(0) =
`$ (1)/(2) (0) - 6 = 0 - 6 = -6 $`

x = 2

f(2) =
`$ (1)/(2) (2) - 6 = 1 - 6 = -5 $`