Given the information that the graph of a function has a yintercept at (0,1) and exactly two xintercepts at (2,0) and (4,0), how many different functions can you find that pass through these three points?
Note: there are infinite families of functions such as high degree polynomials which pass through them, so a single example would suffice for them. Also disallowed would be piecewise function and functions with artificially restricted domains.
Here's an easy one:
y = 0.125x^{2}  0.75x + 1

Posted by Mindy
on 20060619 21:08:37 