Consider the function `f: R->\ R` fined as `f\ (x)\ =x\ +\ s in\ x` . Which of the following is/are the correct statement(s)? `(a)`The function is strictly increasing at every point on `R` except at ` x ` equal to an odd integral multiple of `pi` where the derivative of `f(x)` is zero and where the function `f` is not strictly increasing. `(b)`The function is bounded in every bounded interval but unbounded on whole real line. `(c)`The graph of the function `y\ =f(x)` lies in the first and third quadrants only. `(d)`The graph of the function `y=f(x)` cuts the line `y=x` at infinitely many points.