EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Functions>BITSAT 2019>Q 1

MEDIUM

BITSAT

IMPORTANT

Earn 100

Number of solution of the equation $| \cos x | = 2 [x]$ are (where $| x |, [x]$ are modulus and greatest integer function respectively).

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Important Questions on Functions

EASY

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Functions>BITSAT 2018>Q 2

The inverse of the function

f (x) = \log_{a} (x + \sqrt{x^{2} + 1})

(where,

a < 0, a \neq 1

) is

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BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Functions>BITSAT 2018>Q 3

Let

f : R \to R

be a function satisfying

f (x + y) = f (x) + 2 y^{2} + k x y

for all

x, y \in R

. If

f (1) = 2

and

f (2) = 8

, then

f (x)

is equal to

MEDIUM

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Functions>BITSAT 2017>Q 4

Let

A = [- 1, 1]

and

f : A \to A

be defined as

f (x) = x |x|

for all

x \in A

, then

f (x)

is