Answer:
D
Explanation:
Remember the domain is the input ( what you plug in ) and the range is the corresponding output ( what you get from plugging in the domain )
Knowing this we simply plug in each of the given domain values into the given equation to find the range.
Given equation f(x) = 3x + 5
Domain ( -2 , -1 , 0 , 1 , 2 )
Plug in each into x
x = -2
f(-2) = 3(-2) + 5
==> multiply 3 and -2
f(-2) = -6 + 5
==> add -6 and 5
f(-2) = -1
f(-1) = 3(-1) + 5
f(-1) = -3 + 5
f(-1) = 2
f(0) = 3(0) + 5
f(0) = 0 + 5
f(0) = 5
f(1) = 3(1) + 5
f(1) = 3 + 5
f(1) = 8
f(2) = 3(2) + 5
f(2) = 6 + 5
f(2) = 11
The range for the given domain values is {-1,2,5,8,11}
So the answer is D