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
{ −12, −9, −8, −5, −4}
B
{ − 13, − 10, − 8, − 6, − 3}
C
{ −12, −10, −8, −6, −4}
D
{ −12, −9, −9, −5, −4}
To find the range of the function, we need to evaluate the function for each value in the domain and determine the corresponding output values.
Given the function:
f(x) = 2x - 8
Let's substitute each value from the domain into the function:
f(-2) = 2(-2) - 8 = -4 - 8 = -12
f(-1) = 2(-1) - 8 = -2 - 8 = -10
f(0) = 2(0) - 8 = 0 - 8 = -8
f(1) = 2(1) - 8 = 2 - 8 = -6
f(2) = 2(2) - 8 = 4 - 8 = -4
So the range of the function is {-12, -10, -8, -6, -4}.
Therefore, the correct answer is C.