# How do you use end behavior, zeros, y intercepts to sketch the graph of #g(x)=-x^3(2x-3)#?

##### 1 Answer

Feb 7, 2017

See explanation.

#### Explanation:

Data for sketching :

y-intercept : 0

x-intercept : 0 and 3/2

So, A(0, 0) and B(3/2, 0) lie on the graph.

So, origin (0, 0) and (4/3, 64/81) are POI (points of inflexion ).

At

So, y = 1.068, nearly, 0 is a local maximum at

As

graph{(3x^3-2x^4-y)=0 [-5, 5 -2.5, 2.5]}