f(x)= [[x]]
The function f(x) is defined as [[x]]
The function f(x) is defined as [[x]]. The double brackets around x represent the floor function, denoted by [[ ]], which rounds down a real number to the nearest integer.
To evaluate this function, you substitute a value for x and apply the floor function to it.
For example, if you let x = 3.7, applying the floor function will round down 3.7 to 3, so f(3.7) = [[3.7]] = 3.
Similarly, if you let x = -2.9, applying the floor function will round down -2.9 to -3, so f(-2.9) = [[-2.9]] = -3.
If x is an integer, say x = 5, then f(5) = [[5]] = 5, because the floor function of an integer is itself.
In summary, the function f(x) = [[x]] evaluates to the greatest integer that is less than or equal to x. It rounds down any non-integer values to the nearest whole number.
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