Question

Select the ordered pair that represents a solution to each function below.
f(x)=-x^2 +5

Answer 1

In order to find the solution to the function, we need to substitute a value for x and evaluate f(x).

Let's substitute x = -1:
f(-1) = -(-1)^2 + 5
f(-1) = -(1) + 5
f(-1) = -1 + 5
f(-1) = 4

Therefore, one ordered pair that represents a solution is (-1, 4).

Let's substitute x = 0:
f(0) = -(0)^2 + 5
f(0) = -0 + 5
f(0) = 5

Therefore, another ordered pair that represents a solution is (0, 5).

Let's substitute x = 1:
f(1) = -(1)^2 + 5
f(1) = -1 + 5
f(1) = 4

Therefore, one more ordered pair that represents a solution is (1, 4).

Therefore, the ordered pairs that represent solutions to the function f(x) = -x^2 + 5 are (-1, 4), (0, 5), and (1, 4).