Is there any function which produces at least 26 recognizably distinct graphs?
For example, $f(x) = x^n, n\geq0$ produces distinct graphs for for all positive integers $n < 6$. I'd like it to be obviously distinct without having to look at a scale.
$n$ should start at 0 or 1 (it should not be negative) and increment normally.
If this doesn't make sense, please ask for clarification.