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  1. Examine the graph of the function f(x) = 0.5x − 2 below. Homework Help ✎

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

    2. Find k if A(f, 0 ≤ xk) = l0. How did you find your solution?

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]

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

Simplify, and solve for k.