Question

is it possible to have a function f defined on [1,6] and meets the given condition? f is continuous on [1,6] and non-constant takes on only integer?

Answer 1

you might have to define what non-constant means

Answer 2

f(x) for x in [1,6] such that x is an integer only maybe?

Answer 3

or is only defined for x as an integer?

Answer 4

I think that shuold say takes on only integer values, so its a simple function, thus a step function.

Answer 5

step functions arent continuous, which would imply not possible then; unless of course we adjust the step so that only 1 step exists in the interval

Answer 6

[1/7 2/7 3/7 4/7 5/7 6/7] to 0 or 1