Question

State the degree and end behavior of f(x) = 8x3 + 2x4 - 5x2 + 9. Explain or show your reasoning.

Answer 1

Hi,

Explanation:

`f(x)=2x^4+8x^3-5x^2+9\\`

degree(f(x))= 4

Leading coefficient=2 => positive

`\displaystyle \lim_(x \to \infty) f(x)= \lim_(x \to \infty) 2x^4=+\infty\\ \displaystyle \lim_(x \to -\infty) f(x)= \lim_(x \to \infty) 2x^4=+\infty\\`