Consider the family of curves given by where x ≠ 0 and n is a positive intege...

Consider the family of curves given by

where x ≠ 0 and n is a positive integer. Plot the graph for n = 2, 4, 6, and 8 on the same set of axes. On another set of axes plot the graph for n = 1, 3, 5, and 7. For a given value of n, compare the sizes of on each of the intervals.

a. 0 < x < 1

b. x > 1

c. −1 < x < 0

d. x < −1