EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Functions>AP EAPCET 2020 (Sep-23 Shift-1)>Q 1

EASY

AP EAPCET

IMPORTANT

Earn 100

In the following statements -
(i) Relation is a special case of a function.
(ii) Function is a special case of a relation.
(iii) Both relation and function are same.

55.56% studentsanswered this correctly

Important Questions on Functions

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Functions>AP EAPCET 2019 (21-Apr Shift-2)>Q 2

Let

D = \{x \in ℝ : f (x) = \sqrt{\frac{x - | x |}{x - [x]}}

is defined

}

and

C

be the range of the real function

g (x) = \frac{2 x}{4 + x^{2}} .

Then

D \cap C =

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Functions>AP EAPCET 2019 (21-Apr Shift-2)>Q 3

If

\frac{x - P}{x^{2} - 3 x + 2}

takes all real values for

x \in ℝ,

then the range of

P

is

EASY

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Functions>AP EAPCET 2021 (19-Aug Afternoon)>Q 4

The domain of the function

f (x) = \frac{1}{[x] - 1}

, where

[x]

is greatest integer function of

x

is

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Functions>AP EAPCET 2020 (Sep-23 Shift-1)>Q 5

If

f : R \to R

is defined as

f (x) = x - [x] + 3, \forall x \in R,

then

f

is (where,

[\cdot]

is GIF)

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Functions>AP EAPCET 2018 (25-APR Shift-1)>Q 6

If

f : ℝ \to ℝ

is such that

f (x + y) = f (x) + f (y)

for all

x, y \in ℝ, f (1) = 7

and

\sum_{r = 1}^{n} f (r) = 14112,

then

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Functions>AP EAPCET - 20 Aug 2021 Afternoon>Q 7

If

f (10 - x) = 3 x^{2} + 4 x - 5

and

f (x) = p x^{2} + q x + r

then

p + q + r =

EASY

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Functions>AP EAPCET 2020 (Sep-23 Shift-1)>Q 8

If

f

is a continuous real-valued function, then the range of the function is _______

EASY

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Functions>AP EAPCET 2021 (19-Aug Forenoon)>Q 9

Given the function

f (x) = \frac{a^{x} + a^{- x}}{2}, (a > 2)

then

f (x + y) + f (x - y)

is equal to