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Examine the graph of the function at right.

  1. Find the area of the shaded region using geometry. (Recall that the area below the -axis is considered negative.)

    Find the area of each triangle separately. Recall that the area below the -axis is negative. Add the negative and the positive regions together.

    [Area of triangle ] [Area of triangle ]

  2. Find if . How did you find your solution?

    [Area of triangle ] [Area of triangle ]
    Simplify, and solve for .