1.

Show that the modulus function f: R rarr R given by f(x) = |x|, is neither one-one nor onto.

Answer»

Solution :`f(-2) = |-2| = 2` and
`f(2) = |2| = 2`, f MAPS both -2 and 2 to 2
`THEREFORE` f is not one-one
Since `|x|` assumes only non-negative real values, negative real numbers can.t have pre-images
`therefore` f is not ONTO


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