Question

P(x) = x(x-2)(x+2) how do i find the end behavior?

Answer 1

You look at the coefficient of the highest power of "x". In this case, the highest power x term is x^3. This has an implied "+1" coefficient. So, as x goes off on the right side of the graph to infinity, x^3, with its positive coefficient will go off to positive infinity, so the y values will also go off to positive infinity. And as x goes off to the left to negative infinity, the y values will go off to negative infinity.