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 find the ordered pair that represents a solution to a function, substitute the given x-value into the equation and see if it results in the given y-value.
Given function: f(x) = x + 6
Let's test each ordered pair and see if f(x) matches the given y-value:
A) (-2, -17)
Plug in x = -2 into the equation: f(-2) = -2 + 6 = 4
However, the y-value is -17, not 4. So, (-2, -17) is not a solution to the function.
B) (-2, 1)
Plug in x = -2 into the equation: f(-2) = -2 + 6 = 4
However, the y-value is 1, not 4. So, (-2, 1) is not a solution to the function.
C) (-2, 8)
Plug in x = -2 into the equation: f(-2) = -2 + 6 = 4
However, the y-value is 8, not 4. So, (-2, 8) is not a solution to the function.
D) (-2, 4)
Plug in x = -2 into the equation: f(-2) = -2 + 6 = 4
The y-value is 4, which matches the given y-value. Therefore, (-2, 4) is a solution to the function.
E) (-2, -1)
Plug in x = -2 into the equation: f(-2) = -2 + 6 = 4
However, the y-value is -1, not 4. So, (-2, -1) is not a solution to the function.
F) (-2, 9)
Plug in x = -2 into the equation: f(-2) = -2 + 6 = 4
However, the y-value is 9, not 4. So, (-2, 9) is not a solution to the function.
Therefore, the ordered pair that represents a solution to the given function f(x) = x + 6 is D) (-2, 4).