Question

What is the resulting ordered pair if the value of the independent variable is –3?

f(x)=-2x^3-4x^2-1

A.
(–17, –3)
B.
(17, –3)
C.
(–3, –91)
D.
(–3, 17)

Answer 1

\(\bf f(x)=-2x^3-4x^2-1\qquad \textit{independent variable}=x=-3\\ \quad \\
f({\color{red}{ -3}})=-2({\color{red}{ -3}})^3-4({\color{red}{ -3}})^2-1\)

Answer 2

I did that but i might ave gotten my math wrong i got 17

Answer 3

Wait so its D?

Answer 4

hmmm ok ... \(\bf f({\color{red}{ -3}})=-2({\color{red}{ -3}})^3-4({\color{red}{ -3}})^2-1\\ \quad \\
(-3)^3\implies -3\cdot -3\cdot -3\implies -27\\
(-3)^2\implies -3\cdot -3\implies +9\\ \quad \\
f({\color{red}{ -3}})=-2({\color{red}{ -27}})^3-4({\color{red}{ 9}})^2-1\)

Answer 5

hmmm ahemm kind forgot to remove the exponents... one sec \(\bf f({\color{red}{ -3}})=-2({\color{red}{ -3}})^3-4({\color{red}{ -3}})^2-1\\ \quad \\
(-3)^3\implies -3\cdot -3\cdot -3\implies -27\\
(-3)^2\implies -3\cdot -3\implies +9\\ \quad \\
f({\color{red}{ -3}})=-2({\color{red}{ -27}})-4({\color{red}{ 9}})-1\)

Answer 6

-91?

Answer 7

actuially, I kinda used +2 my bad.. yes your'e correct is 17, so it's D

Answer 8

Okay lol thanks