Answer
From the diagram, the domain of the given floor function is the set of all real numbers, $D ∈ℝ$, while the range of the given floor function is the integers $0$ and $±1$, $R =$ {$-1, 0, 1$}
Work Step by Step
The graph of $y=sin𝑥$ is just a wave function. Using this graph, we can plot the floor function.
As the sine wave function is periodic, the floor function would also be periodic. As such, we will focus on one cycle of the sine function.
For the positive half-cycle of the sine function:
we see that when $0≤x
