Question

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

Answer 1

See below.

Explanation:

For end behaviour of polynomials we only need too look at the leading coefficient and the degree, In this case `2x^5`, as it approaches `+-oo`

as `x->oo` , `color(white)(888)2x^5->oo`

as `x->-oo` , `color(white)(888)2x^5->-oo`

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