This is a graph of the greatest integer function. In this graph, y is equal to the greatest integer value of x. So, if x = 5.5, y = 5. Drag the slider to change the value of the green point on this function.
1. What happens when the green point approaches the open points? The closed points?
2. Can x and y both be integers?
3. Is y ever greater than x?
4. Could you trace this graph without picking your pencil up off a piece of paper?
5. How would you descibe this graph to someone else?