Question

How do you describe the end behavior for `f(x)=x^4-3x^2-3x+4`?

Answer 1

As `x->oo, f(x)->oo`
As `x->-oo, f(x)->oo`

Explanation:

When working with end behavior, look at the leading term (term with highest exponent) and neglect all other terms, in this case `x^4` is the leading term.

If `x` is a very large positive number (`oo`), `x^4` will be a very large positive number (`oo`) also, and if `x` is a very-large-in-magnitude negative number (`-oo`), `x^4` will be a large "positive" number (`oo`) because of the even power "`4`".