How Do You Graph the Function f(x) = x - [[x]]?

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To graph the function f(x) = x - [[x]], it is crucial to clarify that [[x]] refers to the floor function. By evaluating the function at various points such as 0.5, 0.7, and 1.2, one can observe the behavior of f(x). The function essentially represents the fractional part of x, which simplifies the graphing process. Recognizing that [[x]] is equivalent to [x] makes plotting f(x) straightforward. Understanding these concepts is key to accurately graphing the function.
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How do you graph f(x) = x - [[x]]
 
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Well that will depend upon what "[[x]]" means! If it is the "floor" function, you should be able to calculate a few values at, say 0.5, 0.7, 0.9, 1.2, 1.4, 1.7, 2.5. 2.7, 2.9 and see for your self.
 
brhum said:
How do you graph f(x) = x - [[x]]

Do you see that [[x]] is same as [x]? Plotting f(x) should be trivial once you notice that.

(assuming [x] denotes the floor function)
 

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