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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 .

Increasing line, passing through the points (0, comma negative 2) & (4, comma 0), with the triangular region right of the y axis, above the line, & below the x axis, shaded, & the region below the line & above the x axis, left of x = 7, shaded.