Suppose f is definied from R → [–1, 1] as f(x) = (x2 - 1)/(x2 + 1) where R is the set of real number, then the statement which does not hold good is
(A) f is many-one onto
(B) f increases for x > 0 and decreases for x < 0
(C) minimum value is not attained even though f is bounded
(D) The area included by the curve y = f(x) and the line y = 1 is π square units
