Describing a cubic function

[kendang]

List the facts that pertain to the function f(x)=2x^3(x^2-9).

I would like to find the following:

Degree[/*:m:4hunm4gb]
Leading Coefficient[/*:m:4hunm4gb]
Highest Power[/*:m:4hunm4gb]
Odd/Even Power[/*:m:4hunm4gb]
Roots/Intersection[/*:m:4hunm4gb]
Turning Points[/*:m:4hunm4gb]


The graph looks like this:
http://img51.imageshack.us/img51/7756/2x3x29.png

Can someone also explain hos this is graphed?

[Subhotosh Khan]

List the facts that pertain to the function f(x)=2x^3(x^2-9).

I would like to find the following:

Degree[/*:m:173jde8r]
Leading Coefficient[/*:m:173jde8r]
Highest Power[/*:m:173jde8r]
Odd/Even Power[/*:m:173jde8r]
Roots/Intersection[/*:m:173jde8r]
Turning Points[/*:m:173jde8r]


The graph looks like this:
http://img51.imageshack.us/img51/7756/2x3x29.png

Can someone also explain hos this is graphed?

If you are trying to unserstand the nature of the graph -

What is the value of f(x) at x = 1 and x = -1

What is the value of f(x) at x = 2 and x = -2

What is the value of f(x) at x = 2.5 and x = -2.5

What is the value of f(x) at x = 4 and x = -4

What is the value of f(x) at x = 4.5 and x = -4.5

Then also investigate the values of f'(x) at those x's.