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8-11.

Given the piecewise function , complete the following problems.

  1. Graph over the interval .

  2. What is the area under over the interval ?

    Break the area into smaller rectangles and triangles. Calculate the area for each. Add up the areas of the parts.

  3. If , what is the area under for the same interval?

    Raising the graph up would give the area an additional .

Continuous linear piecewise, starting at (0, comma 4), turning at (4, comma 4), (6, comma 6), ending at (10, comma 6).

Added to piecewise, vertical segments from function to x axis, at x = 1, 4, 6, & 10, & horizontal segment between (4, comma 4), ( 6, comma 4), area between function & x axis shaded.