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.
(In reply to
re: The Old Kitchen Sink by Jer)
Sorry, I was just concentrating on the "pass through these three
points" part of the question, and missed the "exactly two" part.
By the way, aren't these "xintercepts" of yours usually called "zeros"
and isn't "xintercept" reserved for linear functions that have one and
is never used in the plural?

Posted by Richard
on 20060620 15:34:43 