Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>Assignment>Q 14

EASY

JEE Main/Advance

IMPORTANT

Earn 100

If $f (x)$ is a signum function, then $f (10)$ is equal to

85% studentsanswered this correctly

Important Questions on Relations and Functions

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>Assignment>Q 15

The value of

\frac{f (1.5) - f (1)}{0.25}

, where

f (x) = x^{2}

, is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>Assignment>Q 16

If

f (x) = a x + b

, where

a

and

b

are integers,

f (- 1) = - 5

and

f (3) = 3

, then

a

and

b

are respectively

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>Assignment>Q 17

Domain of the function defined by

f (x) = \frac{x^{2} + 2 x + 1}{x^{2} - x - 6}

is given by

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>Assignment>Q 18

Domain of the function

f

given by

f (x) = 2 - |x - 5|

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>Assignment>Q 19

The domain of

f (x) = \frac{\log_{2} (x + 3)}{x^{2} + 3 x + 2}

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>Assignment>Q 20

Range of

f (x) = \frac{3}{2 - x^{2}}

is

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>Assignment>Q 21

The domain of

f (x) = \log |x| + \frac{1}{\sqrt{|x|}} + \frac{1}{\log |x|}

is

R - A

where

A

is the set

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>Assignment>Q 22

The domain of the function

f (x) = \sqrt{x^{2} - {[x]}^{2}}

, where

[\cdot]

denotes greatest integer function less than or equal to

x

.