What is the range of the function f(x) = 3x − 12 for the domain {-2, 2}? {3, 12} {-6, -18} {6, 18} {12, 3}
The Domain: -2,3,-6,6,12
Range: 2,12,-18,18,3
the answer is (x-12)/3
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.