The exponential function [math]f(x) = (1/b)^x[/math]. Note that b is a decimal value between 0 and 1. This is equivalent to a fraction [math]1/b[/math]

What happens to the points A, B, and C as the base changes? What are their coordinates? How does this relate to the equation of the function for various values of b? Why does the graph become a straight line when b = 1? Why does it disappear when b = 0?