Select the ordered pair that represent a solution to each function below
f(x)= -x + 6
A) (-2, -17)
B) (-2, 1)
C) (-2, 8)
D) (-2, 4)
E) (-2, -1)
F) (-2, 9)
Justify your answer
To determine if an ordered pair represents a solution to the function f(x) = -x + 6, we need to substitute the x-value into the function and check if it equals the corresponding y-value.
For ordered pair (-2, -17):
f(-2) = -(-2) + 6 = 2 + 6 = 8
The y-value does not match the given y-value of -17.
For ordered pair (-2, 1):
f(-2) = -(-2) + 6 = 2 + 6 = 8
The y-value does not match the given y-value of 1.
For ordered pair (-2, 8):
f(-2) = -(-2) + 6 = 2 + 6 = 8
The y-value matches the given y-value of 8.
For ordered pair (-2, 4):
f(-2) = -(-2) + 6 = 2 + 6 = 8
The y-value does not match the given y-value of 4.
For ordered pair (-2, -1):
f(-2) = -(-2) + 6 = 2 + 6 = 8
The y-value does not match the given y-value of -1.
For ordered pair (-2, 9):
f(-2) = -(-2) + 6 = 2 + 6 = 8
The y-value does not match the given y-value of 9.
Therefore, the only ordered pair that represents a solution to the function f(x) = -x + 6 is (-2, 8) [Option C].