?The graph of \(y=\int_{0}^{x} \ell(t) d t\), where \(\ell\) is a piecewise linear

Chapter 5, Problem 162

(choose chapter or problem)

The graph of \(y=\int_{0}^{x} \ell(t) d t\), where \(\ell\) is a piecewise linear function, is shown here.

                                     

a. Over which intervals is \(\ell\) positive? Over which intervals is it negative? Over which, if any, is it zero?

b. Over which intervals is \(\ell\) increasing? Over which is it decreasing? Over which, if any, is it constant?

c. What is the average value of \(\ell\)?

Text Transcription:

y=int_0^x ell(t)dt

ell