Calculus Integrals

Question

Find the range of the function  . (4 points)

Answer Choices:

	[-4, 4]
	[-4, 0]
	[0, 4π]
	[0, 8π]

Answer 1

Note that (x,y), x on [-4,4], make a semicircle of radius 4 with the circle center at the origin. Thus, the area is half that of a circle, 8π, and the answer is d.