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Show that the modulus function f:R->R, …

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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.

Posted by Aayush Raj 3 years, 6 months ago

CBSE > Class 12 > Mathematics

1 answers

Satyam Suman 3 years, 6 months ago

Function is not one one because 1is not equal to -1 but f(1) is equal to f (-1) Also, function is not onto because range of this function is positive real numbers and codomain of this function is both positive and negative real number.

2Thank You

ANSWER

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