Sketch the graph of the floor function

Question

f(x) =[x + 1] , over the interval [-3, 3)

Answer 1

f(-3 to almost -2) = -2

f(-2 to almost -1) = -1

f(-1 to almost 0) = 0

f(0 to almost 1) = 1

f(1 to almost 2) = 2

f(2 to almost 3) = 3

it's a step function with 6 discontinuous steps

6 horizontal line segments of length 1 each

start on the left and climb the stairs one step up with one step to the right

for each step put a darkened dot on the left end

and put an open dot on the right end