To find the range of the function f(x) = 12 – 3x for the given domain values of -4, -2, 0, 2, 4, we need to evaluate the function at each point in the domain.
- For x = -4:
f(-4) = 12 – 3(-4) = 12 + 12 = 24 - For x = -2:
f(-2) = 12 – 3(-2) = 12 + 6 = 18 - For x = 0:
f(0) = 12 – 3(0) = 12 - For x = 2:
f(2) = 12 – 3(2) = 12 – 6 = 6 - For x = 4:
f(4) = 12 – 3(4) = 12 – 12 = 0
Now, we compile the outputs:
- f(-4) = 24
- f(-2) = 18
- f(0) = 12
- f(2) = 6
- f(4) = 0
The range, therefore, consists of the values that we calculated: {0, 6, 12, 18, 24}. This set shows all the possible outputs for the function given the specified domain.
In conclusion, the range of the function f(x) = 12 – 3x for the domain {-4, -2, 0, 2, 4} is {0, 6, 12, 18, 24}.