Question 2
Find the total number of different integer values the function
$$
f(x) = [x] + [2x] + \left[\frac{5x}{3}\right] + [3x] + [4x]
$$
takes for real numbers $x$ with $0 \leq x \leq 100$.
Note: $[t]$ is the largest integer that does not exceed $t$.
$$
f(x) = [x] + [2x] + \left[\frac{5x}{3}\right] + [3x] + [4x]
$$
takes for real numbers $x$ with $0 \leq x \leq 100$.
Note: $[t]$ is the largest integer that does not exceed $t$.