61.1k views
0 votes
I'll send you a photo I have no idea how to solve this

I'll send you a photo I have no idea how to solve this-example-1

1 Answer

3 votes

\begin{gathered} As\text{ x }\rightarrow-\infty,\text{ f(x) }\rightarrow-\infty \\ As\text{ x }\rightarrow+\infty,\text{ f(x) }\rightarrow-\infty \end{gathered}Step-by-step explanation:
f(x)=-2x^6+4x^4-x^3+8x\text{ - 2}

leading coefficient = -2 and it is negative

the highest degree is 6 and it is even

When the leading coefficient is negative and the degree is even:

as x tends to negative infinity, f(x) tends to negative infinity

as x tends to positive infinity, f(x) tends to negative infinity


\begin{gathered} As\text{ x }\rightarrow-\infty,\text{ f(x) }\rightarrow-\infty \\ As\text{ x }\rightarrow\text{ +}\infty,\text{ f(x) }\rightarrow\text{ -}\infty \end{gathered}

User Will Bellman
by
5.1k points