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

While answering the questions below, refer to the graph at right. Assume the axes are scaled equally. .

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.

At which point is the instantaneous rate of change closest to

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

Which is greater: the average rate of change between

andor the instantaneous rate of change at?Which is greater: the slope of the secant line or the slope of the tangent line?

Which is greater: the average rate of change between

andor the average rate of change betweenand?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*