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Examine the graph of at right.

  1. Calculate the area of the shaded region using geometry. (Recall that 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.

  2. What is the value of if the area under the curve for is ? How did you obtain your solution?

    Simplify, and solve for .