# How do you sketch the general shape of #f(x)=x^3-10x^2+33x-38# using end behavior?

##### 1 Answer

Feb 10, 2017

See explanation.

#### Explanation:

graph{x^3-10x^2+33x-38 [0, 5, -5, 5]}

Polynomials

for

Here, as

The not-to-scale graph above reveals turning points and point of

inflexion..

So, the POI is at x =10/3.

Overall rise-and-fall graph is inserted below.

graph{x^3-10x^2+33x-38 [-30, 20, -15, 10]}