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  #1  
June 28th, 2016, 10:50 AM
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Functions IIT JEE

Hello sir I am here as I want to get some sample question of SET, Relations and Functions of IIT JEE so will you please provide me that??
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  #2  
June 28th, 2016, 10:51 AM
Super Moderator
 
Join Date: Mar 2012
Re: Functions IIT JEE

As per your demand here I am providing you sample question of SET, Relations and Functions of IIT JEE

1. Given are two sets A {1, 2, -2, 3} and B = {1, 2, 3, 5}. Is the function f(x) = 2x - 1 defined from A to B?

2. A function f is defined as f: N -> N (where N is natural number set) and f(x) = x+2. Is this function ONTO?

3. Find the range and domain of the function f(x) = (2x+1)/(x-1) and also find its inverse.

4. Find domain and range of the function f(x) = (x2+2x+3)/(x2


5. Find the period of following functions

(a) cos3 x + sin 5 x

(b) |cos x| + |sin2 x|

(c) x - |x|.


6. Show that the inverse of a linear fraction function is always a linear fraction function (except where it is not defined).


7. Show that the following functions are even

(a) f(x) = x2

(b) f(x) = (ax+a-x)/2

(c) f(x) = x2


8. Show that following functions are odd.

(a) f(x) = (ex

(b) f(x) = log((1-x)/(1+x))

(c) f(x) = √(1+x+x2


9. If f(x) = 1 + x; 0 < x < 2

= 3 - x; 2 < x < 3

Determine

(a) g(x) = f(f(x))

(b) f(f(f(x)))

(c) f([x])

(d) [f(x)]

Where [ ] represents the greatest integer function.


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