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Let .          

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

    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. What is the shaded area?

    Area of Rectangle A: units2
    Area of Rectangle B: units2
    Area of Rectangle C: units2

  3. g 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