Question

How do you determine the end behavior of `f(x)=1-x^6`?

Answer 1

See below.

Explanation:

For end behaviour of a polynomial, we only have to look at the degree and leading coefficient. In this case it is:

`-x^6`

`lim_(x->oo)(-x^6)=-oo`

`lim_(x->-oo)(-x^6)=-oo`

Graph: graph{1-x^6 [-6.24, 6.244, -3.12, 3.12]}