Question

4) Show that the modulus function f: R - R is neither one-one nor onto.​

Answer 1

Answer:

Show that the Modulus Function f : R → R, given by f(x) = |x|, is neither oneone nor onto, where | x | is x, if x is positive or 0 and |x| is – x, if x is negative. ... Thus, there does not exist any element x in domain R such that f(x) = |x| = - 1. ∴ f is not onto. Hence, the modulus function is neither one-one nor onto.