Question

WILL MARK BRAINLY
For the following cubic function: f(x) = -(x+2)^2 (x-1)
, complete this end behavior statement.

As x goes to positive infinity, y goes to __________.

negative infinity
positive infinity
both
neither

Answer 1

Answer:

Negative infinity.

Step-by-step explanation:

It behaves as it behaves the leading term. The leading term you can simply extract for being $-x^3$ which goes to negative infinity.

Rigorously, you do all the multiplication, then collect $x^3$ and in what's left you end up with -1 and a number of terms that go to zero.

Fast and loose, positive infinity, means "very big". Let's say 100. Now cubed, that's -1M. Now, even if you are adding a bunch of positive numbers - and some of these aren't - no way you can catch up that -1M lead your cubic term gives the polynomial