7. Signum function , if , if , if Domain = Signum function takes the sign of the x e.g. , Clearly the Signum Function is defined for all Real values i.e. all values of 'x' but it can attain only three values -1,0 and 1. 8. Modulus Function , if , if Domain = R Properties of Modulus: For revision, here is the quick look of the properties of modulus function 1. 2. 3. 4. 9. Greatest integer function f(x) = [x] It is defined as the largest integer less than or equal to 'x' For example, , [5] = 5 , [ -8] = -8 etc. consider 1.3 Step 1 : which integers are less than or equal to 1.3 clearly, .................... -3, -2, -1, 0 and 1 Step 2 : Among the above integers which is greatest clearly it is 1 so, [1.3] = 1 Now, consider -1.3 Step 1: which integers are less than or equal to -1.3 ............ -4, -3 and -2 Step 2 : Among the above integers which is greatest clearly -2 is the greatest so, [-1.3] = -2 c...
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