Question

What is the range of the function f(x) = 3x − 12 for the domain {-2, 2}? {3, 12} {-6, -18} {6, 18} {12, 3}

Answer 1

The Domain: -2,3,-6,6,12
Range: 2,12,-18,18,3

the answer is (x-12)/3

Answer 2

Answer:

The correct option is 2. The range of the function is {-6,-18}.

Step-by-step explanation:

The given function is

$f(x)=3x-12$

Domain is the set of all possible inputs and range is the set of all possible outputs.

It is given that the domain of the function is {-2,2}.

For x=-2.

$f(-2)=3(-2)-12=-6-12=-18$

For x=2.

$f(2)=3(2)-12=6-12=-6$

Therefore the range of the function is {-6,-18} and option 2 is correct.