### Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem 4-143

4-143.

The graph of

*f*′(*x*) is shown below. Find the intervals where*f*(*x*) is increasing, decreasing, concave up, and concave down. Homework Help ✎

We are looking at a graph of *f* '(*x*), but being asked about the graph of *f*(*x*).

So think about what *f* '(*x*) tells us about *f*(*x*).

If *f* '(*x*) is positive, then *f*(*x*) is increasing (and vice versa).

If *f* '(*x*) is increasing, then *f*(*x*) is concave up (and vise versa).