Prove that the Greatest Integer Function f : R → R, given by f(x) = [x], is neither
one-one nor onto, where [x] denotes the greatest integer less than or equal to x Rationalised 2023-24
RELATIONS AND FUNCTIONS
11
4 Show that the Modulus Function f : R → R, given by f (x) = | x|, is neither one-
one nor onto, where | x | is x, if x is positive or 0 and |x | is – x, if x is negative 5