Question

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

The answer is D. its D because when I replace x with those domain and I solve it , I got those ranges

Answer 2

The range of the function is {24,18,12,6,0}

Explanation:

Given : The range of the function
`f(x)=12-3x` for the domain {-4, -2, 0, 2, 4}.

To find : What is the range ?

Solution :

We have given the domain of the function so to find range we have to substitute the value of x i.e. domain,

`f(x)=12-3x`

For x=-4,

`f(4)=12-3(-4)`

`f(4)=12+12`

`f(4)=24`

For x=-2,

`f(4)=12-3(-2)`

`f(4)=12+6`

`f(4)=18`

For x=0,

`f(4)=12-3(0)`

`f(4)=12+0`

`f(4)=12`

For x=2,

`f(4)=12-3(2)`

`f(4)=12-6`

`f(4)=6`

For x=4,

`f(4)=12-3(4)`

`f(4)=12-12`

`f(4)=0`

So, The range of the function is {24,18,12,6,0}