Answer-
y = [x] - 2, matches the graph of the given greatest integer function.
Solution-
The Greatest Integer Function is denoted by y = [x].
For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest lowest integer.
In the plot of y = [x], the plot starts from origin because
y = [0] = 0.
But, in the question, all the line are shifted 2 units downward, as it starts from (0, -2).
i.e for every values of x, y decreases 2 units. Hence, 2 must be subtracted.
Therefore, this graph represents y = [x] - 2.
