Question

HELP PLEASE.

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

Range us {0, 6, 12, 18, 24}.

Explanation:

The range of a function is the output values after inputting the domain.

To find these, substitute the values of the domain.

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

The range is {0, 6, 12, 18, 24}.