Find the range of the function for the given domain.
f(x) = 2x + 8; { − 2, − 1,0,1,2}
What is the range? Choose the correct answer below.
A
B
C
D
The range of a function is the set of all possible output values. In this case, the function is f(x) = 2x + 8.
To find the range, we need to substitute each value from the given domain, {- 2, - 1, 0, 1, 2}, into the function and evaluate it.
f(-2) = 2(-2) + 8 = 4 + 8 = 12
f(-1) = 2(-1) + 8 = -2 + 8 = 6
f(0) = 2(0) + 8 = 0 + 8 = 8
f(1) = 2(1) + 8 = 2 + 8 = 10
f(2) = 2(2) + 8 = 4 + 8 = 12
So, the range of the function f(x) = 2x + 8 for the given domain {- 2, - 1, 0, 1, 2} is {12, 6, 8, 10}.
The correct answer is:
C. {12, 6, 8, 10}