Question

PLEASE HELP

What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}?


a. {24, 18, 12, 6, 20}



b. {6, 12, 18, 24, 30}



c. {-12, -6, 0, 6, 12}



d. {0, 6, 12, 18, 24}

Answer 1

Substitute the values of x from the domain to the equation of the function:

`f(x)=12-3x\\\\f(-4)=12-3(-4)=12+12=24\\f(-2)=12-3(-2)=12+6=18\\f(0)=12-3(0)=12-0=12\\f(2)=12-3(2)=12-6=6\\f(4)=12-3(4)=12-12=0`

Answer: d. {0, 6, 12, 18, 24}