In the parallelogram ABCD, passing through point C makes CE ⊥ CD and intersects ad at point E, Next, If ad = 6, tanb = 4 / 3, AE = 1, let CP1 = x, s △ p1f1c1 = y, find y and X, find the functional relationship between X and y, and write out the value range of independent variable x

In the parallelogram ABCD, passing through point C makes CE ⊥ CD and intersects ad at point E, Next, If ad = 6, tanb = 4 / 3, AE = 1, let CP1 = x, s △ p1f1c1 = y, find y and X, find the functional relationship between X and y, and write out the value range of independent variable x

① When P1 is on the extension line of CH segment, that is, x > 4
G1F=P1C=x,P1H=x-4
S△P1FG1=y=FG1*P1H/2=x(x-4)/2
② When P1 is on the segment CH (not coincident with C and H)
G1F=P1C=x,P1H=4-x
S△P1FG1=y=x(4-x)/2 0