Consider the functionf(x) =1x2+2x. 12 3

8

w

h

(x,y)

y=7

6

4

2

y=f(x)

1 123456

1) Construct a rectanglein the first quadrant,above the graphofy=f(x), andbelow the liney= 7 by picking a point (x,y) on the graph ofy=f(x) and drawing a line segment vertically upward toy= 7 and another line segment horizontally to the left to they-axis, as shown in the image above. Denote the height of the rectangle ashand the width bysw, as shown in the image.