### Home > CALC > Chapter 6 > Lesson 6.4.2 > Problem 6-144

While answering the questions below, refer to the graph of below.

Between which pair of consecutive points is the average rate of change of

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

Assuming the axes are scaled equally, 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 or the slope of the tangent?

Which is greater: the average rate of change between

andor the average rate of change betweenand?Refer to previous hints.

Use the eTool below to visualize the problem.

Click the link at right for the full version of the eTool: *Calc 6-144 HW eTool*