How do the graphs of the functions f(x) = ( [image 1] )x and g(x) = ( [image 2] )x compare?

Answer:

The graphs of f(x) (3/2)^x and g(x) (2/3)^x are reflections of each other over the yaxis. The function f(x) represents exponential growth because the base 3/2 is greater than 1, while g(x) represents exponential decay because the base 2/3 is between 0 and 1. Both functions have the same yintercept at (0, 1).