JEE 2009

let f :R-->R be any function . define g :R-->R by g(x) = |f(x)| for all x. then g is

a. onto if f is onto

b. one=one if f is one-one

c.continuous if f is continuous

d. differentiable if f is defferentiable

any example of such a function ?

2 Answers

62
Lokesh Verma ·

only c

take f(x)=x

that will disprove a, b, d

11
Mani Pal Singh ·

THE ANSWER TO THIS PROBLEM
IS

(C)
CONSIDER THE FUNCTION y=x

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