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f(x) = {\(\frac{|x|}{x}\) for x≠0 and 0 for x=0}. Which function is this?(a) Constant(b) Modulus(c) Identity(d) Signum functionThe question was posed to me in an online quiz.I would like to ask this question from Functions topic in portion Relations and Functions of Mathematics – Class 11

Answer»

The correct choice is (d) Signum FUNCTION

Best explanation: f(X) = {\(\FRAC{|x|}{x}\) for x≠0 and 0 for x=0}. Function is {(-3, -1), (-2, -1), (-1,1), (0,0), (1,1), (2,1), (3,1), …….}. This is signum function.



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