Question

Let f(x)=5x^7+3x^5-2x^2+7x+1. Determine the end behavior of y=f(x).

Answer 1

I know that I am supposed to graph this using my calculator but I'm still not too familiar with end behavior because we just recently learned it in my class.

Answer 2

In this case, we have an odd degree on the leading term, alo we have a positive leading coefficient, which mean that as x goes to infinity , y also goes of to inifinity. In a ddition, as x goes to negative infinity, y also goe of to negative inifity.

Answer 3

So if my graph looks like this the answer would be:
y --> infinity as x --> infinity AND y --> -infinity as x --> -infinity
???

Answer 4

that would be correct

Answer 5

ok thanks