How do you describe the end behavior for #f(x)=x^3-3x^2+1#?

1 Answer
Feb 23, 2018

Answer:

See below.

Explanation:

To find the end behaviour of a polynomial we only have to look at the leading coefficient and the degree. In this case:

#x^3#

as: #x->oo# #color(white)(88888.888)x^3->oo#

as: #x->-oo# #color(white)(888888)x^3->-oo#

The graph of #x^3-3x^2+1# confirms this:

graph{y=x^3-3x^2+1 [-14.24, 14.24, -7.11, 7.13]}