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)
Show your work
To find the ordered pair that represents a solution to a function, we substitute the given x-value into the function and evaluate the result.
For the function f(x) = -x^2 + 5:
A: (-2, -17)
-(-2)^2 + 5 = -4 + 5 = 1
The result is not -17, so (A) is not a solution.
B: (-2, 1)
-(-2)^2 + 5 = -4 + 5 = 1
The result is 1, so (B) is a solution.
C: (-2, 8)
-(-2)^2 + 5 = -4 + 5 = 1
The result is not 8, so (C) is not a solution.
D: (-2, 4)
-(-2)^2 + 5 = -4 + 5 = 1
The result is not 4, so (D) is not a solution.
E: (-2, -1)
-(-2)^2 + 5 = -4 + 5 = 1
The result is not -1, so (E) is not a solution.
F: (-2, 9)
-(-2)^2 + 5 = -4 + 5 = 1
The result is not 9, so (F) is not a solution.
Therefore, the only ordered pair that represents a solution to the function is (B) (-2, 1).