### Home > APCALC > Chapter 2 > Lesson 2.3.1 > Problem 2-108

2-108.

Rewrite

as a piecewise-defined function.Notice how this

graph differs from. From this we can determine that there will be three pieces, and we already know the first and last piece.The middle piece is a vertical reflection of

.Using set notation, state the domain and range of

.Consider how the range of

differs from the range of.Estimate the area under the curve for

by any method. A trapezoidal sum is an option.

Write a Riemann sum to approximate the area under the curve for

using rectangles of equal width. Then evaluate the sum. The height is determined by the function.

Use the eTool below to help answer each part:

Click on the link to the right to view the full version of the eTool. *Calc 2-108 HW eTool*