### Home > APCALC > Chapter 8 > Lesson 8.2.1 > Problem 8-73

8-73.

**Multiple Choice: **The function , whose graph consists of two line segments, is shown at right. Which of the following are true for

*on the open interval*

The domain of the derivative of

is the open interval. is continuous on the open interval. The derivative of

is positive on the open interval.

I only

II only

III only

II & III only

I, II, & III

Is there anywhere within in which the derivative does not exist?

Check all three conditions of continuity.

A positive derivative means that is increasing.