End Behavior of f(x) = x^3 - 3x^2 + x + 1

[Nadia]

I have this packet to do and in the packet you have to graph six functions and verify the domain and range, zeros, y-intercept, end behavior and intervals where the function is increasing/ decreasing. I know how to do most of it but i dont know how to find the end behavior or how to write it. The function is:

f(x)=x^3-3x^2+x+1

Can someone please help!!!

 

[stapel]

Roughly speaking, even powers behave, on the "ends", like quadratics, and odd powers behave like cubics. :idea:

Your book should have a list of function graphs illustrating this, but, if not, you can do a few graphs to confirm this to yourself. :wink:

Eliz.