Greatest Integer Function
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?