- Consider the following three specific functions for a functional
relation between X and Y:
i.
ii.
iii.
a. For the values of X of 0, 10, 20, 30, 40, and 50,
plot X and Y on a scale diagram for each specific
function. Connect these points with a smooth
line.
b. For each function, state whether the slope of the
line is constant, increasing, or decreasing as the
value of X increases.
c. Describe for each function how the marginal
change in Y depends on the value of X.
- For each of the functional relations listed below, plot the relations
on a scale diagram (with X on the horizontal axis and Y on the
vertical axis) and compute the slope of the line.
a.
b.
c.
d.
- Draw three graphs in which the dependent variable increases at
an increasing rate, at a constant rate, and at a diminishing rate.
Then draw three graphs in which it decreases at an increasing,
constant, and diminishing rate. State a real relation that each of
these graphs might describe, other than the ones given in the text
of this chapter.
Y = 50 + 2 X
Y = 50 + 2 X+0.05X^2
Y = 50 + 2 X−0.05X^2
Y = 10 + 3 X
Y = 20 + 4 X
Y = 30 + 5 X
Y = 10 + 5 X
