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

##### 1 Answer

Jul 25, 2017

Look below :)

#### Explanation:

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

All you really need to know to sketch the general shape is the know the end behavior and the y-intercept.

This is the graph of

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

This is the graph of

As you can see the point

graph{x^3-4x^2+7 [-11.29, 11.21, -3.11, 8.14]}