To find the solution to the function f(x) = x^2 + 5, we need to substitute the x-value from the ordered pair into the function and see if the resulting y-value matches the second number in the ordered pair.
A) (-2, -17): f(-2) = (-2)^2 + 5 = 4 + 5 = 9. The y-value in the ordered pair is -17, which does not match the result of the function.
B) (-2, 1): f(-2) = (-2)^2 + 5 = 4 + 5 = 9. The y-value in the ordered pair is 1, which does not match the result of the function.
C) (-2, 8): f(-2) = (-2)^2 + 5 = 4 + 5 = 9. The y-value in the ordered pair is 8, which does not match the result of the function.
D) (-2, 4): f(-2) = (-2)^2 + 5 = 4 + 5 = 9. The y-value in the ordered pair is 4, which does not match the result of the function.
E) (-2, -1): f(-2) = (-2)^2 + 5 = 4 + 5 = 9. The y-value in the ordered pair is -1, which does not match the result of the function.
F) (-2, 9): f(-2) = (-2)^2 + 5 = 4 + 5 = 9. The y-value in the ordered pair is 9, which matches the result of the function.
Therefore, the only ordered pair that represents a solution to the function f(x) = x^2 + 5 is (F) (-2, 9).
Select the ordered pair that represents a solution to each function below.
f(x)= x^2 + 5
A) (-2, -17)
B) (-2, 1)
C) (-2, 8)
D) (-2, 4)
E) (-2, -1)
F) (-2, 9)
1 answer
1 answer