# How do you sketch the general shape of #f(x)=-x^3+4x^2-7# using end behavior?

##### 1 Answer

Jun 25, 2017

The general shape is that of

#### Explanation:

Since the first power is odd the general shape of the graph is similar to that of

If the power is even then it would follow the general shape of

This is the graph of

graph{-x^3 [-10, 10, -5, 5]}

And this is the graph of

graph{-x^3+4x^2-7 [-22.8, 22.8, -11.4, 11.4]}