Answer:
The correct option is 3.
Step-by-step explanation:
The given function is
[tex]f(x)=x[/tex] if 0 ≤ x ≤ 4
where x is the greatest integer function.
This function can be written as
[tex]f(x)=\begin{cases}0 & \text{ if } 0\leq x<1 \\ 1 & \text{ if } 1\leq x<2 \\ 2 & \text{ if } 2\leq x<3 \\ 3 & \text{ if } 3\leq x<4 \\ 4 & \text{ if } x=4 \end{cases}[/tex]
It means the values of the function is 0 in the interval 0≤x<1, 0 in the interval 0≤x<1, 1 in the interval 1≤x<2, 2 in the interval 2≤x<3, 3 in the interval 3≤x<4, 4 at x=4.
From these interval in is clear that the closed circle in on the left side of the floor and open circle on the right side on each floor.
Therefore the correct option is 3.
