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