Select the ordered pair that represents 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 which ordered pair represents a solution to the function, we substitute the x-coordinate into the function and check if it matches the y-coordinate.
Let's substitute x = -2 into the function:
f(-2) = -(-2) + 6
f(-2) = 2 + 6
f(-2) = 8
Thus, the ordered pair (-2, 8) is a solution to the function f(x) = -x + 6.
Therefore, the correct answer is C) (-2, 8).
Justification: The ordered pair (-2, 8) satisfies the equation -x + 6 = 8, where -2 is the value of x and 8 is the value of f(x).