Problem: Consider the graphs of and . We may say that:
Answer Choices:
A. They do not intersect
B. They intersect in one point only
C. They intersect in two points only
D. They intersect in a finite number of points but more than two
E. They coincide
Solution:
Writing as , we obtain the abscissas of the intersection points by solving the equation . Since the possible values of are restricted to positive numbers, there is but one root, namely . Hence, the graphs intersect only in .