Re: Discussion Problem_(11)

Posted by duck on May 23, 2013; 4:43pm
URL: http://discussion-forum.276.s1.nabble.com/Discussion-Problem-11-tp7581175p7581188.html

Hi.. :)


There are three points in the question which can easily get you to the correct answer:
(i) Function is continuous.
(ii) Takes only rational values.
These two conditions imply that f(x) is a constant function.
Because if you make it a function of "x" then, f(x) can take irrational values also.
(iii) f(1) = 1
This condition imply that f(x) must be equal to 1.
Because if we take any other constant function then, (iii) wont be satisfied.

Therefore, we've f(x)=1

Correct answer:
Option(b): f(0)=1