The diagram shows the graph of y=x^2(3-x). The coordinates of the points A and B on the graph are (2,4)and (3,0) respectively i) write down the solution set of the inequality x^2(3-x)or equal to 0. ii) The equation 3x^2-x^3=k has three solutions for x. Write down the set of possible values for k. iii) Functions f and g are defined as follows: f:x---x^2(3-x), 0 x^2(3-x), 0

Question

The diagram shows the graph of y=x^2(3-x). The coordinates of the points A and B on the graph are (2,4)and (3,0) respectively i) write down the solution set of the inequality x^2(3-x)>or equal to 0. ii) The equation 3x^2-x^3=k has three solutions for x. Write down the set of possible values for k. iii) Functions f and g are defined as follows: f:x--->x^2(3-x), 0 x^2(3-x), 0< or equal to x