Mathematics

Problem

x \in \mathbb{R}^+

and

n \in \mathbb{N}

, we can uniquely write

x = mn + r

, where

m \in W

and

0 \le r < n

. We define

x \bmod n = r

, e.g.

10.3 \bmod 3 = 1.3

. The number of points of discontinuity of the function

f(x) = (x \bmod 2)^2 + (x \bmod 4)

in the interval

0 < x < 9

is a. 0 b. 2 c. 4 d. None of these