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Q3 of 118 Page 3

Write the range of the function f (x) = sin [x] where

F(x) =



=-sin 1




= 0


Using properties of greatest integer function:


[1] = 1; [0.5] = 0; [-0.5] = -1


Therefore, R(f) = {-}


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Write the range of the real function f(x) = |x|.

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If f is a real function satisfying for all x ∈ R – {0}, then write the expression for f (x).

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If f(x) = cos2[π2]x + cos [-π2] x, where [x] denotes the greatest integer less than or equal to x, then write the value of f(π).

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Questions · 118
3. Functions
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