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

Solution:

Given: f(x) = 3x − 12

The domain of any function y = f(x) is the value(s) the variable ‘x’ can take. The range of a function is defined as the possible outputs we can have for a given set of inputs.

The function which is under consideration here is :

f(x) = 3x - 12

The range includes the values of y for the given value(s) - (domain) of the variable x.

The domain of the function in the given statement of the problem is:

x = {-2, 2}

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

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

Hence, the range of the function is {-18, 6}

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

Summary:

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