what is the ordered pair that represents a solution to each function below

f(x)=-x^2 +5
f(x)=x^2+5
f(x)= -x+6
f(x)= x+6
f(x)= x^3 - 9
f(x)= -x^3 -9

1 answer

For each function, an ordered pair (x, y) represents a solution. To find the ordered pair, we need to substitute a specific value for x and calculate the corresponding value for y.

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

Therefore, the ordered pair representing a solution is (0, 5).

2) f(x) = x^2 + 5:
Let's substitute x = 1:
f(1) = (1)^2 + 5
f(1) = 1 + 5
f(1) = 6

Therefore, the ordered pair representing a solution is (1, 6).

3) f(x) = -x + 6:
Let's substitute x = 4:
f(4) = -(4) + 6
f(4) = -4 + 6
f(4) = 2

Therefore, the ordered pair representing a solution is (4, 2).

4) f(x) = x + 6:
Let's substitute x = -3:
f(-3) = (-3) + 6
f(-3) = 3

Therefore, the ordered pair representing a solution is (-3, 3).

5) f(x) = x^3 - 9:
Let's substitute x = 2:
f(2) = (2)^3 - 9
f(2) = 8 - 9
f(2) = -1

Therefore, the ordered pair representing a solution is (2, -1).

6) f(x) = -x^3 - 9:
Let's substitute x = -1:
f(-1) = -(-1)^3 - 9
f(-1) = -(1) - 9
f(-1) = -1 - 9
f(-1) = -10

Therefore, the ordered pair representing a solution is (-1, -10).
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