The dashed line can be moved left and right. F indicates the area of the blue shaded figure. The graphical representation uses two parallel coordinate axes - a so called dynagraph representation - in the lower graphics window.

(a) Activate the check box "graphical representation". Move the yellow point to the right and observe the shaded figure. What is displayed in the dynagraph representation? What do you notice when you compare this representation to that in the previous applet (Triangle 2)? [br][br](b) Determine the area of the shaded figure for following distances x: 0 cm, 1cm, 2 cm, 5 cm, 6 cm, and 8 cm?[br][br](c) Solve by using the dynagraph representation and explain your considerations![br]• At what distance x do you find the maximum area? [br]• At what distance x do you find the minimum area? [br]• At what distance x is the area of the figure 8 cm²?[br][br](d) Solve by using the dynagraph representation and explain your considerations! [br]• How does the area change when you increase the distance x?[br]• How does the area change when you decrease the distance x?[br]• What happens in the dynagraph when the dashed line reaches point C?[br]• What happens in the dynagraph when the yellow dot is right of point B?