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Examine the graph the function at right.

  1. Find the area of the shaded region using geometry.

    Notice the familiar geometric shape.

    We will use the notation to represent "The area between the function and the -axis" over the interval from to .

  1. Notice that the line dips below the -axis when . We will consider the area below the -axis as negative. Find .

    Find the area of the negative region and combine
    it with the positive area found in part (a).

  2. Find if . Show how you obtained your solution clearly and completely.