How do you determine the end behavior of f(x)=2x^5-5x+7.5?

Dec 3, 2017

See below.

Explanation:

For end behaviour of polynomials we only need too look at the leading coefficient and the degree, In this case $2 {x}^{5}$, as it approaches $\pm \infty$

as $x \to \infty$ , $\textcolor{w h i t e}{888} 2 {x}^{5} \to \infty$

as $x \to - \infty$ , $\textcolor{w h i t e}{888} 2 {x}^{5} \to - \infty$

(a negative value raised to an odd power is always negative)