The given graph is a step function.
Step function
A function that increases or decreases abruptly from one constant value to another.
How to verify the graph?
f(x) = [x] where x is a step integer function.
From the graph, we can write,
[tex][x] = -2,\ -2\leq x<-1[/tex]
[tex][x] = -1,\ -1\leq x<0[/tex]
[tex][x] = 0,\ 0\leq x<1[/tex]
[tex][x] = 1,\ 1\leq x<2[/tex]
Thus, the given graph is a step function.
more about the step function link is given below.
https://brainly.com/question/2192971
