### Home > CALC > Chapter 6 > Lesson 6.4.1 > Problem 6-132

6-132.

For each graph below: Homework Help ✎

Trace

*f*(*x*) on your paper and write a slope statement for*f*(*x*).Sketch the graph of

*f*′(*x*) using a different color.

Slope statements should tell a story, starting at the left side of the graph and ending at the right side.

There should be a description of where the function is increasing or decreasing and how the rate in which it is increasing or decreasing is changing.

Steep positive slopes on *f*(*x*) should have very high *y*-values on the graph of *f* '(*x*). While steep negative slopes on *f*(*x*) should have very low *y*-values on the graph of *f* '(*x*). Maxima and minima on *f*(*x*) have 0 slope, so they are roots on the graph of *f* '(*x*).