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graph at rightExamine the graph of f(x) = 0.5x – 2 at right. Homework Help ✎

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

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

    [Area of triangle A] + [Area of triangle B]

  2. What is the value of k if the area under the cuve for 0 ≤ xk is 10? How did you obtain your solution?

    [Area of triangle A] + [Area of triangle B] = 10

    Simplify, and solve for k.