1

AIEEE 2009

MCQ (Single Correct Answer)

+4

-1

Let $$f\left( x \right) = {\left( {x + 1} \right)^2} - 1,x \ge - 1$$

**Statement - 1 :**The set $$\left\{ {x:f\left( x \right) = {f^{ - 1}}\left( x \right)} \right\} = \left\{ {0, - 1} \right\}$$.**Statement - 2 :**$$f$$ is a bijection.2

AIEEE 2009

MCQ (Single Correct Answer)

+4

-1

For real x, let f(x) = x

^{3}+ 5x + 1, then3

AIEEE 2008

MCQ (Single Correct Answer)

+4

-1

Let $$f:N \to Y$$ be a function defined as f(x) = 4x + 3 where

Y = { y $$ \in $$ N, y = 4x + 3 for some x $$ \in $$ N }.

Show that f is invertible and its inverse is

Y = { y $$ \in $$ N, y = 4x + 3 for some x $$ \in $$ N }.

Show that f is invertible and its inverse is

4

AIEEE 2007

MCQ (Single Correct Answer)

+4

-1

The largest interval lying in $$\left( { - {\pi \over 2},{\pi \over 2}} \right)$$ for which the function

$$f\left( x \right) = {4^{ - {x^2}}} + {\cos ^{ - 1}}\left( {{x \over 2} - 1} \right)$$$$ + \log \left( {\cos x} \right)$$,

is defined, is

$$f\left( x \right) = {4^{ - {x^2}}} + {\cos ^{ - 1}}\left( {{x \over 2} - 1} \right)$$$$ + \log \left( {\cos x} \right)$$,

is defined, is

Questions Asked from Functions (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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