runaway818
contestada

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

Respuesta :

Shyprincess123456
The answer is D. its D because when I replace x with those domain and I solve it , I got those ranges

Answer:

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

Step-by-step explanation:

Given : The range of the function [tex]f(x)=12-3x[/tex] 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,

[tex]f(x)=12-3x[/tex]

For x=-4,

[tex]f(4)=12-3(-4)[/tex]

[tex]f(4)=12+12[/tex]

[tex]f(4)=24[/tex]

For x=-2,

[tex]f(4)=12-3(-2)[/tex]

[tex]f(4)=12+6[/tex]

[tex]f(4)=18[/tex]

For x=0,

[tex]f(4)=12-3(0)[/tex]

[tex]f(4)=12+0[/tex]

[tex]f(4)=12[/tex]

For x=2,

[tex]f(4)=12-3(2)[/tex]

[tex]f(4)=12-6[/tex]

[tex]f(4)=6[/tex]

For x=4,

[tex]f(4)=12-3(4)[/tex]

[tex]f(4)=12-12[/tex]

[tex]f(4)=0[/tex]

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