  ### Home > APCALC > Chapter 6 > Lesson 6.4.2 > Problem6-137

6-137. While answering the questions below, refer to the graph at right. Assume the axes are scaled equally. 6-137 HW eTool (Desmos). Homework Help ✎

1. Between which pair of consecutive points is the average rate of change the greatest?

Average rate of change (AROC) can be seen on a graph as the slope of the secant line between two points.

2. At which point is the instantaneous rate of change closest to $1$?

Instantateous rate of change (IROC) can be seen on a graph as the slope of the tangent line at a specific point.

3. Which is greater: the average rate of change between B and C or the instantaneous rate of change at C?

Which is greater: the slope of the secant line or the slope of the tangent line?

4. Which is greater: the average rate of change between C and D or the average rate of change between C and E?

Refer to the previous hints.

Use the eTool below to visualize the problem.
Click the link at right for the full version of the eTool: Calc 6-137 HW eTool