### Home > CALC > Chapter 8 > Lesson 8.2.1 > Problem 8-72

8-72.

**Multiple Choice:**The function*f*, whose graph consists of two line segments, is shown at right. Which of the following are true for*f*on the open interval (*a, c*)? Homework Help ✎The domain of the derivative of

*f*is the open interval (*a, c*).*f*is continuous on the open interval (*a, c*).The derivative of

*f*is positive on the open interval (*b, c*).

I only

II only

III only

II & III only

I, II & III

Is there anywhere within *a* < *x* < *c* in which the derivative does not exist?

Check all three conditions of continuity.

A positive derivative means that *f*(*x*) is increasing.