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).

2

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

3

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

5

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

6

Write the range of the function f(x) = e^{x – [x]}, X ∈R.