Question

describe the end behavior 2x5-7x2-4x

Answer 1

\[f(x)=2x^5-7x^2-4x\]

To describe the end behavior you want to see what happens as x -> infinity and -infinity.

\[\lim_{x \rightarrow \infty}f(x) \rightarrow \infty \]
\[\lim_{x \rightarrow -\infty}f(x)\rightarrow-\infty \]

So the function goes to infinity towards the right and goes towards negative infinity towards the left.

Answer 2

use the synthetic division to evaluate f(x)=z3-8z+6 when z=-3