select and 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 if a given ordered pair represents a solution to the function f(x) = x + 6, we substitute the x-value into the function and check if the y-value matches the given y-value in the ordered pair.
Let's check each option:
A) (-2, -17)
Substituting x = -2 into the function: f(-2) = (-2) + 6 = 4
The y-value does not match -17, so (-2, -17) is not a solution to the function.
B) (-2, 1)
Substituting x = -2 into the function: f(-2) = (-2) + 6 = 4
The y-value does not match 1, so (-2, 1) is not a solution to the function.
C) (-2, 8)
Substituting x = -2 into the function: f(-2) = (-2) + 6 = 4
The y-value does not match 8, so (-2, 8) is not a solution to the function.
D) (-2, 4)
Substituting x = -2 into the function: f(-2) = (-2) + 6 = 4
The y-value matches 4, so (-2, 4) is a solution to the function.
E) (-2, -1)
Substituting x = -2 into the function: f(-2) = (-2) + 6 = 4
The y-value does not match -1, so (-2, -1) is not a solution to the function.
F) (-2, 9)
Substituting x = -2 into the function: f(-2) = (-2) + 6 = 4
The y-value does not match 9, so (-2, 9) is not a solution to the function.
Therefore, the ordered pair that represents a solution to the function f(x) = x + 6 is D) (-2, 4).
x is always -2
y = x + 6 = 4
so
(-2 , 4) works PERIOD !!!!