Question

What is the end behavior of `f(x)=-3x^5-4x^2+3`?

Answer 1

`f(x)rarr+oo" as "xrarr-oo`
`f(x)rarr-oo" as "xrarr+oo`

Explanation:

When dealing with end behavior, only the term with the highest degree is significant (because as `xrarr+-oo` its magnitude will exceed those of all other terms).

As `xrarr-oo`
`color(white)("XXX")x^5rarr -oo`
and
`color(white)("XXX")-3x^5rarr +oo`

Asw `xrarr+oo`
`color(white)("XXX")x^5rarr +oo`
and
`color(white)("XXX")-3x^5rarr -oo`