### Home > APCALC > Chapter 1 > Lesson 1.2.1 > Problem 1-20

1-20.

Let

Sketch the graph of

. Is this function continuous?Continuous functions must have connected pieces. There can be no jumps or holes. What happens to

atand at?Shade the area between

and the-axis. What is the shaded area?Area of Rectangle A:

units ^{2}

Area of Rectangle B:units ^{2}

Area of Rectangle C:units ^{2}Rectangle A + Rectangle B + Rectangle C = 33 units

^{2}*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