Graph f(x)=[[x]]

Problem

ƒ(x)=⌊x⌋

Solution

1. Identify the function as the greatest integer function, also known as the floor function, which maps a real number x to the largest integer less than or equal to x

2. Determine the values for specific intervals. For any integer n if n≤x<n+1 then ƒ(x)=n

3. Plot the points for several intervals. For example, on [0,1) y=0 on [1,2) y=1 on [−1,0) y=−1

4. Represent the graph as a series of horizontal steps. Each step has a closed circle (solid dot) on the left end to show the value is included, and an open circle on the right end to show the value is not included.

Final Answer

ƒ(x)=⌊x⌋

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