Question

what value does the function (y) approach as x approaches infinity?
For the polynomial f(x)=x^3-x^2-4x-4

Answer 1

is the signs correct? :P

Answer 2

damn i copy pasted and forgot to fix the -4 to a +4

Answer 3

The end behavior of a polynomial is determined by its leading term. Here the leading term is \(\large x^3\). What happens to \(\large x^3\) when x approaches infinity?

Answer 4

well when i graph it it goes up and down infinity

Answer 5

No, x^3 end behavior of the positive odd function goes down then up

Answer 6

end behavior of a "negative" odd function goes up then down :)

Answer 7

Therefore, as x approaches postive infinity, y also goes to positive infinity.
I assume you meant positive infinity?