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Show that f(x)=|x|+2 is not onto

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Show that f(x)=|x|+2 is not onto

Posted by Simran Srikoti 6 years, 4 months ago

CBSE > Class 12 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Modulus Function f : R {tex}\rightarrow{/tex} R, given by f(x) = |x| + 2
One-one: f(1) = |1| + 2 = 3 and f(2) = |2| + 2 = 4,so distinct elements have same image.So, f is not one-one.
Onto: f takes only positive values, so range(f) = set of positive real numbers {tex}\neq{/tex} R, codomain. So, f is not onto.

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