Answer each of the following questions by drawing a schematic diagram.

a. Taking measurements of the slope of a curve at three points farther and farther to the right along the horizontal axis, the slope of the curve changes from —0.3,

to -0.8, to -2.5, measured by the point method. Draw a schematic diagram of this curve. How would you describe the relationship illustrated in your diagram?

b. Taking measurements of the slope of a curve at five points farther and farther to the right along the horizontal axis, the slope of the curve changes from 1.5, to 0.5, to 0, to —0.5, to —1.5, measured by the point method. Draw a schematic diagram of this curve. Does it have a maximum or a minimum?