### Home > APCALC > Chapter 3 > Lesson 3.3.4 > Problem 3-131

The graph of is shown at right. Use the graph to list the following values in ascending (increasing) order: 3-131 HW eTool (Desmos). Homework Help ✎

means the slope at . Is the slope at

*positive, negative or zero? How does this compare with the slope at*

*?*

*f* '(4) means the slope at . Is the slope at

*positive, negative or zero? How does it compare with the slope at*

*?*

means the average rate of change between and

*.*

Graphically, this can be seen as the slope of the secant line. Is that slope positive, negative or zero? How does it compare with the slopes at and

*, and with the value of*

Looking at the graph from left to right, it is increasing always. The slopes start steep and, as , get smoother.

Use the eTool below to help solve the problem.

Click the link at right for the full version of the eTool: Calc 3-131 HW eTool