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Recent questions tagged functions
Materials:
Functions
+3
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3
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1
GATE2010 TF: GA5
Consider the function $f(x)=\max(7x,x+3).$ In which range does $f$ take its minimum value$?$ $6\leq x<2$ $2\leq x<2$ $2\leq x<6$ $6\leq x<10$
asked
May 14
in
Numerical Ability
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Lakshman Patel RJIT
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2
GATE2010 MN: GA10
Given the following four functions $f_{1}(n)=n^{100},$ $f_{2}(n)=(1.2)^{n},$ $f_{3}(n)=2^{n/2},$ $f_{4}(n)=3^{n/3}$ which function will have the largest value for sufficiently large values of n $(i.e.$ $n\rightarrow\infty)?$ $f_{4}$ $f_{3}$ $f_{2}$ $f_{1}$
asked
May 13
in
Numerical Ability
by
Lakshman Patel RJIT
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50.9k
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1
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3
ISI2018PCBCS3
An $n$variable Boolean function $f:\{0,1\}^n \rightarrow \{0,1\} $ is called symmetric if its value depends only on the number of $1’s$ in the input. Let $\sigma_n $ denote the number of such functions. Calculate the value of $\sigma_4$. Derive an expression for $\sigma_n$ in terms of $n$.
asked
May 12
in
Set Theory & Algebra
by
akash.dinkar12
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41.6k
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24
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isi2018pcbcs
engineeringmathematics
discretemathematics
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+1
vote
1
answer
4
ISI2019MMA30
Consider the function $h$ defined on $\{0,1,…….10\}$ with $h(0)=0, \: h(10)=10 $ and $2[h(i)h(i1)] = h(i+1) – h(i) \: \text{ for } i = 1,2, \dots ,9.$ Then the value of $h(1)$ is $\frac{1}{2^91}\\$ $\frac{10}{2^9+1}\\$ $\frac{10}{2^{10}1}\\$ $\frac{1}{2^{10}+1}$
asked
May 7
in
Calculus
by
Sayan Bose
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7.1k
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354
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isi2019mma
engineeringmathematics
discretemathematics
settheory&algebra
functions
0
votes
0
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5
Michael Sipser Edition 3 Exercise 0 Question 6 (Page No. 26)
Let X be the set {1, 2, 3, 4, 5} and Y be the set {6, 7, 8, 9, 10}. The unary function$ f: X→Y$ and the binary function $g: X Y →Y$ are described in the following tables. a. What is the value of f(2)? b. What are the range and ... . What is the value of g(2, 10)? d. What are the range and domain of g? e. What is the value of g(4, f(4))?
asked
Apr 13
in
Theory of Computation
by
Lakshman Patel RJIT
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50.9k
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19
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michaelsipser
theoryofcomputation
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easy
0
votes
1
answer
6
finding two positive integers in an array
I'm facing a problem these days, the question is saying the following: " Imagine we are having an array of positive integers called (a) and a variable called (k). Among this integers, we are looking for two numbers such that the sum of ... 6,2 in this case what would be the designing of the algorithm? Thank you all for your efforts, they worth a lot!
asked
Feb 4
in
Study Resources
by
miller
(
29
points)

110
views
functions
logic
algorithms
0
votes
1
answer
7
Functions and Relations
What is the number of relations S over set {0,1,2,3} such that (x,y) $\epsilon$ S $\Rightarrow x = y$ ? Thanks.
asked
Jan 23
in
Set Theory & Algebra
by
Abhipsa Mishra
(
83
points)

65
views
settheory&algebra
relations
functions
discretemathematics
0
votes
1
answer
8
Functions
What Is The Total Number Of Boolean Functions Possible Over N Boolean Variables?
asked
Jan 23
in
Set Theory & Algebra
by
Abhipsa Mishra
(
83
points)

41
views
discretemathematics
functions
settheory&algebra
0
votes
0
answers
9
Composition of a relation Madeeasy 2019
How to take composition of a Relation? here used concept of function but when to go with the transitivity rule concept as mentioned below? Please clarify in general when to use which method
asked
Jan 10
in
Mathematical Logic
by
Markzuck
Junior
(
655
points)

81
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discretemathematics
relations
functions
settheory&algebra
0
votes
0
answers
10
If function f and fog are oneone then how is function g also oneone ?
asked
Jan 3
in
Set Theory & Algebra
by
radha gogia
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(
6.3k
points)

66
views
functions
0
votes
0
answers
11
Function Pointer question
#include<stdio.h> int main ( ) { int demo ( ); // What is this and what does it do? demo ( ); (*demo) ( ); } int demo ( ) { printf("Morning"); }
asked
Jan 2
in
Programming
by
gmrishikumar
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1.9k
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88
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programminginc
pointers
arrayofpointers
functions
functionpointers
0
votes
0
answers
12
Zeal Test Series 2019: Set Theory & Algebra  Functions
I think only d) is correct
asked
Dec 22, 2018
in
Set Theory & Algebra
by
Prince Sindhiya
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5.5k
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98
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settheory&algebra
functions
discretemathematics
zeal
zeal2019
+1
vote
0
answers
13
TIFR2019A6
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ is said to be $\textit{convex}$ if for all $x,y \in \mathbb{R}$ and $\lambda$ such that $0 \leq \lambda \leq1,$ $f(\lambda x+ (1\lambda)y) \leq \lambda f (x) + (1\lambda) f(y)$. Let $f:$\mathbb{R}$ $→$ $\mathbb ... $p,q$ and $r$ must be convex? Only $p$ Only $q$ Only $r$ Only $p$ and $r$ Only $q$ and $r$
asked
Dec 18, 2018
in
Set Theory & Algebra
by
Arjun
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420k
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276
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tifr2019
engineeringmathematics
discretemathematics
settheory&algebra
functions
convexsetsfunctions
nongate
0
votes
1
answer
14
TIFR2019A12
Let $f$ be a function with both input and output in the set $\{0,1,2, \dots ,9\}$, and let the function $g$ be defined as $g(x) = f(9x)$. The function $f$ is nondecreasing, so that $f(x) \geq f(y)$ for $x \geq y$. Consider the following statements: There ... must be TRUE for ALL such functions $f$ and $g$ ? Only $(i)$ Only $(i)$ and $(ii)$ Only $(iii)$ None of them All of them
asked
Dec 18, 2018
in
Set Theory & Algebra
by
Arjun
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(
420k
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448
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tifr2019
engineeringmathematics
discretemathematics
settheory&algebra
functions
+1
vote
0
answers
15
Floor and Ceil
Is below always true? $\lceil 2x \rceil=2.\lceil x \rceil$
asked
Dec 15, 2018
in
Set Theory & Algebra
by
Ayush Upadhyaya
Boss
(
26.6k
points)

69
views
functions
+2
votes
2
answers
16
What is the return value of following function for 484? What does it to in general?
asked
Dec 14, 2018
in
Programming
by
Gangani_Son
(
125
points)

128
views
programminginc
functions
programming
loop
0
votes
0
answers
17
Function return type
Are these return types valid for a function in C? Would any of these result in error, or simply will be ignored? 1 const void f() 2 extern void f() 3 static void f()
asked
Dec 9, 2018
in
Programming and DS
by
Mizuki
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(
1.3k
points)

38
views
programminginc
functions
+1
vote
0
answers
18
Kenneth Rosen Edition 6th Exercise 2.3 Question 35 (Page No. 147)
Show that the function f(x) = ax + b from R>R is invertible, where a and b are constants, with a$\neq$0, and find the inverse of f How to check whether this function is onto? pls give a detailed solution
asked
Nov 26, 2018
in
Set Theory & Algebra
by
aditi19
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4.8k
points)

48
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kennethrosen
discretemathematics
functions
settheory&algebra
+2
votes
1
answer
19
Zeal Test Series 2019: Set Theory & Algebra  Functions
Let f : A → B be function, where A = {1,2,3,4,5,6} and B = {1,2,3,4,5}. If f(1) = 4 then how many surjective (onto) functions are possible ?
asked
Nov 11, 2018
in
Set Theory & Algebra
by
Prince Sindhiya
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(
5.5k
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275
views
zeal
settheory&algebra
functions
zeal2019
0
votes
1
answer
20
Bijective function
Let R be set of all real numbers, and A = B = R*R A function A> B is defined by f(a,b) = (a+b,ab) How to prove it is a bijective function?
asked
Nov 9, 2018
in
Set Theory & Algebra
by
dan31
Junior
(
853
points)

67
views
discretemathematics
functions
0
votes
1
answer
21
Function
The function defined for positive integers by $F(1)=1,F(2)=1,F(3)=1$ and by identities F(2k)=F(k),F(2k+1)=F(k) for $ k>=2.$The sum $F(1)+F(2)+F(3)+...+F(100)$ is________
asked
Oct 24, 2018
in
Combinatory
by
Lakshman Patel RJIT
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(
50.9k
points)

103
views
discretemathematics
functions
+2
votes
0
answers
22
Function f and g
Let $f(x)$ mean that function $f$ ,applied to $x$,and $f^{n}(x)$ mean $f(f(........f(x)))$,that is $f$ applied to $x$ ,$n$ times.Let $g(x) = x+1$ and $h_{n}(x)=g^{n}(x).$Then what is $h_{9}^{8}(72)?$
asked
Oct 7, 2018
in
Set Theory & Algebra
by
Lakshman Patel RJIT
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(
50.9k
points)

57
views
discretemathematics
settheory&algebra
functions
+1
vote
0
answers
23
Composite functions gof and fog
Consider the following statements regarding function f and g. 1) if gof is injective, then g is injective but f need not be. 2) if gof is surjective then both f and g are subjective. A) (1) is true,(2) is false B) (1) is false,(2) is true C) Both are true D) Both are false
asked
Oct 7, 2018
in
Set Theory & Algebra
by
Lakshman Patel RJIT
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(
50.9k
points)

75
views
discretemathematics
settheory&algebra
functions
0
votes
0
answers
24
Virtual Gate Test Series: Discrete Mathematics  Set Theory & Algebra  Functions
asked
Sep 28, 2018
in
Set Theory & Algebra
by
jatinkumar
(
307
points)

43
views
discretemathematics
settheory&algebra
functions
virtualgatetestseries
+4
votes
0
answers
25
Kenneth Rosen Edition 6th Exercise 2.3 Question 14 (Page No. 146)
How to test whether function is onto and onetoone when function is in two variables? Determine whether below function $f:Z\,X\,Z\rightarrow\,Z$ is onetoone, or onto or none? (a)$f(m,n)=2mn$ (b)$f(m,n)=m^2n^2$
asked
Sep 25, 2018
in
Set Theory & Algebra
by
Ayush Upadhyaya
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(
26.6k
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96
views
kennethrosen
discretemathematics
settheory&algebra
functions
0
votes
0
answers
26
Functions doubt
Let $f \: \circ \: g$ denote function composition such that $(f \circ g)(x) = f(g(x))$. Let $f: A \rightarrow B$ such that for all $g \: : \: B \rightarrow A$ and $h \: : \: B \rightarrow A$ ... the range of $f$ is finite the domain of $f$ is finite https://gateoverflow.in/95289/tifr2017a11 i'm not able to understand why f should be onetoone
asked
Sep 24, 2018
in
Set Theory & Algebra
by
Mk Utkarsh
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(
35.2k
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22
views
discretemathematics
functions
0
votes
0
answers
27
https://www.geeksforgeeks.org/wpcontent/uploads/gq/2016/02/GATECS201612.png
How to solve this https://www.geeksforgeeks.org/wpcontent/uploads/gq/2016/02/GATECS201612.png
asked
Sep 22, 2018
in
Discrete Mathematics
by
akankshadewangan24
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(
3.9k
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1.7k
views
functions
0
votes
0
answers
28
S is increasing function or not?
Consider the following statements. S1: f(x) = x5 + 3x  1 is an increasing function for all values of x. S2: f(x) = 1x3x9 is decreasing function for all values of x where x 0. Which of the above statements are TRUE. AS1 only BS2 only CBoth S1 and S2 DNeither S1 nor S2
asked
Sep 15, 2018
in
Mathematical Logic
by
bts1jimin
(
193
points)

36
views
engineeringmathematics
functions
calculus
0
votes
0
answers
29
Why is composition of functions unequal in below question ?
Here Domain and coDomain is Integers. I am getting fog=gof , what's wrong in this approach ?
asked
Sep 7, 2018
in
Set Theory & Algebra
by
radha gogia
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6.3k
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55
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functions
0
votes
0
answers
30
Injective Function
The number of ways possible to form injective function from set A set B where A = 3 and B = 5 such that pth element of set A cannot match with pthelement of set B are _________.
asked
Aug 28, 2018
in
Combinatory
by
srestha
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116k
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43
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discretemathematics
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Exam date is 1212020.
Where is this mentioned?
Nope :(
is it for final year student or not??
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