I need someone to explain this to me. I'm am mainly confused on HOW to graph the function after I have factored.

The volume, V, in cubic centimeters, of a collection of open-topped boxes can be modelled by

V(x) = 4x^3 - 220x^2 + 2800x

where x is the height of each box in centimetres.

A) Graph V(x). State the restrictions.

*HOW do I graph this function?

(step1) set equal zero

(step2) factor: 0 = 4x (x - 20) (x - 35)

.....................zeros {0, 20, 35}

Now how do I graph this, I am confused?

B) Fully Factor V(x). State the relationship between the factored form of the equation and the graph

C) State the value of the constant finite differences for this function.

*Answers*

a) Graph.

....x>0 and V(x)>0

b)V(x) = 4x(x-35)(x-20)