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  1. Sketch the graph of . Is this function continuous? Explain.

    Continuous functions must have connected pieces. There can be no jumps or holes. What happens to at and at ?

  2. Shade the area between and the -axis. Find .

    Area of Rectangle A: units
    Area of Rectangle B: units
    Area of Rectangle C: units

    Rectangle A + Rectangle B + Rectangle C units

  3. The equation is an example of a step function. Why do you think it is called a step function?

    The shape of the graph should help answer this question.

Use the eTool below to examine the graph of .
Click the link at right for the full version of the eTool: Calc 1-20 HW eTool