To determine if an ordered pair represents a solution to the function, we substitute the x-value into the function and check if the equation holds true.
Let's check each option:
A) (-2, -17):
f(-2) = (-2)^3 - 9
f(-2) = -8 - 9
f(-2) = -17
The equation holds true, so (-2, -17) is a solution to the function.
B) (-2, 1):
f(-2) = (-2)^3 - 9
f(-2) = -8 - 9
f(-2) = -17
The equation doesn't hold true, so (-2, 1) is not a solution to the function.
C) (-2, 8):
f(-2) = (-2)^3 - 9
f(-2) = -8 - 9
f(-2) = -17
The equation doesn't hold true, so (-2, 8) is not a solution to the function.
D) (-2, 4):
f(-2) = (-2)^3 - 9
f(-2) = -8 - 9
f(-2) = -17
The equation doesn't hold true, so (-2, 4) is not a solution to the function.
E) (-2, -1):
f(-2) = (-2)^3 - 9
f(-2) = -8 - 9
f(-2) = -17
The equation doesn't hold true, so (-2, -1) is not a solution to the function.
F) (-2, 9):
f(-2) = (-2)^3 - 9
f(-2) = -8 - 9
f(-2) = -17
The equation doesn't hold true, so (-2, 9) is not a solution to the function.
Therefore, the only ordered pair that represents a solution to the function f(x) = x^3 - 9 is A) (-2, -17).
choose an ordered pair that represents a solution to each function
f(x)= x^3 -9
A) (-2, -17)
B) (-2, 1)
C) (-2, 8)
D) (-2, 4)
E) (-2, -1)
F) (-2, 9)
Justify your answer
3 answers
since the first term is always (-2)^2 = -8
only the first answer can work to give -17
no need to do the rest
only the first answer can work to give -17
no need to do the rest
You are correct! Since the x-coordinate is fixed at -2 and the function is defined as f(x) = x^3 - 9, we can quickly see that the only ordered pair that satisfies the equation is A) (-2, -17).
1 answer