You can
put this solution on YOUR website! Consider the graph of each function and decide if it is continuous
y=[x]
I think you mean the "floor" function where y is the SMALLEST
integer that does not exceed x. It's a "stair-step" function.
Examples:
[π] = [3] = [√10] = [3.001] = [3.999] = 3
[-π] = [-4] = [-√10] = [-3.999] = [-3.001] = -4
but [-3] = -3 and [-4] = -4
As you see it is not at all continuous.
Edwin
