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 ?
Shade the area between
and the -axis. Find .
Area of Rectangle A:
Area of Rectangle B:
Area of Rectangle C:
Rectangle A + Rectangle B + Rectangle C
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