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Functions
Recent questions tagged functions
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1
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151
ISI2016-DCG-48
The piecewise linear function for the following graph is $f(x)=\begin{cases} = x,x\leq-2 \\ =4,-2<x<3 \\ = x+1,x\geq 3\end{cases}$ $f(x)=\begin{cases} = x-2,x\leq-2 \\ =4,-2<x<3 \\ = x-1,x\geq 3\end{cases}$ $f(x)=\begin{cases} = 2x,x\leq-2 \\ =x,-2<x<3 \\ = x+1,x\geq 3\end{cases}$ $f(x)=\begin{cases} = 2-x,x\leq-2 \\ =4,-2<x<3 \\ = x+1,x\geq 3\end{cases}$
gatecse
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in
Calculus
Sep 18, 2019
by
gatecse
432
views
isi2016-dcg
calculus
functions
curves
non-gate
1
vote
1
answer
152
ISI2016-DCG-50
The domain of the function $\ln(3x^{2}-4x+5)$ is set of positive real numbers set of real numbers set of negative real numbers set of real numbers larger than $5$
gatecse
asked
in
Set Theory & Algebra
Sep 18, 2019
by
gatecse
385
views
isi2016-dcg
functions
0
votes
0
answers
153
ISI2016-DCG-58
Let $y=\left \lfloor x \right \rfloor$ where $\left \lfloor x \right \rfloor$ is greatest integer less than or equal to $x$. Then $y$ is continuous and many-one. $y$ is not differentiable and many-one. $y$ is not differentiable. $y$ is differentiable and many-one.
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
368
views
isi2016-dcg
calculus
continuity
differentiation
functions
2
votes
1
answer
154
ISI2017-DCG-3
If $2f(x)-3f(\frac{1}{x})=x^2 \: (x \neq0)$, then $f(2)$ is $\frac{2}{3}$ $ – \frac{3}{2}$ $ – \frac{7}{4}$ $\frac{5}{4}$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
419
views
isi2017-dcg
calculus
functions
0
votes
1
answer
155
ISI2017-DCG-6
Let $f(x) = \dfrac{x-1}{x+1}, \: f^{k+1}(x)=f\left(f^k(x)\right)$ for all $k=1, 2, 3, \dots , 99$. Then $f^{100}(10)$ is $1$ $10$ $100$ $101$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
543
views
isi2017-dcg
calculus
functions
1
vote
2
answers
156
ISI2017-DCG-30
If $f(x)=e^{5x}$ and $h(x)=f’’(x)+2f’(x)+f(x)+2$ then $h(0)$ equals $38$ $8$ $4$ $0$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
328
views
isi2017-dcg
calculus
differentiation
functions
2
votes
1
answer
157
ISI2018-DCG-9
Let $f(x)=1+x+\dfrac{x^2}{2}+\dfrac{x^3}{3}...+\dfrac{x^{2018}}{2018}.$ Then $f’(1)$ is equal to $0$ $2017$ $2018$ $2019$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
646
views
isi2018-dcg
calculus
functions
differentiation
0
votes
1
answer
158
ISI2018-DCG-28
Let $f(x)=e^{-\big( \frac{1}{x^2-3x+2} \big) };x\in \mathbb{R} \: \: \& x \notin \{1,2\}$. Let $a=\underset{n \to 1^+}{\lim}f(x)$ and $b=\underset{x \to 1^-}{\lim} f(x)$. Then $a=\infty, \: b=0$ $a=0, \: b=\infty$ $a=0, \: b=0$ $a=\infty, \: b=\infty$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
301
views
isi2018-dcg
calculus
limits
functions
8
votes
3
answers
159
GATE2010 TF: GA-5
Consider the function $f(x)=\max(7-x,x+3).$ In which range does $f$ take its minimum value$?$ $-6\leq x<-2$ $-2\leq x<2$ $2\leq x<6$ $6\leq x<10$
admin
asked
in
Quantitative Aptitude
May 13, 2019
by
admin
1.4k
views
general-aptitude
quantitative-aptitude
gate2010-tf
maxima-minima
functions
3
votes
1
answer
160
GATE2010 MN: GA-10
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 $(i.e.$ $n\rightarrow\infty)?$ $f_{4}$ $f_{3}$ $f_{2}$ $f_{1}$
admin
asked
in
Quantitative Aptitude
May 13, 2019
by
admin
1.3k
views
general-aptitude
quantitative-aptitude
gate2010-mn
functions
1
vote
1
answer
161
ISI2018-PCB-CS3
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 $n$.
akash.dinkar12
asked
in
Set Theory & Algebra
May 12, 2019
by
akash.dinkar12
483
views
isi2018-pcb-cs
engineering-mathematics
discrete-mathematics
set-theory&algebra
functions
descriptive
4
votes
1
answer
162
ISI2019-MMA-30
Consider the function $h$ defined on $\{0,1,…….10\}$ with $h(0)=0, \: h(10)=10 $ and $2[h(i)-h(i-1)] = h(i+1) – h(i) \: \text{ for } i = 1,2, \dots ,9.$ Then the value of $h(1)$ is $\frac{1}{2^9-1}\\$ $\frac{10}{2^9+1}\\$ $\frac{10}{2^{10}-1}\\$ $\frac{1}{2^{10}+1}$
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
1.8k
views
isi2019-mma
engineering-mathematics
discrete-mathematics
set-theory&algebra
functions
0
votes
1
answer
163
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))?
admin
asked
in
Theory of Computation
Apr 13, 2019
by
admin
592
views
michael-sipser
theory-of-computation
functions
easy
0
votes
1
answer
164
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 ... ,2 in this case what would be the designing of the algorithm? Thank you all for your efforts, they worth a lot!
miller
asked
in
Study Resources
Feb 3, 2019
by
miller
480
views
functions
logic
algorithms
0
votes
1
answer
165
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.
Abhipsa
asked
in
Set Theory & Algebra
Jan 23, 2019
by
Abhipsa
556
views
set-theory&algebra
relations
functions
discrete-mathematics
0
votes
1
answer
166
Functions
What Is The Total Number Of Boolean Functions Possible Over N Boolean Variables?
Abhipsa
asked
in
Set Theory & Algebra
Jan 23, 2019
by
Abhipsa
391
views
discrete-mathematics
functions
set-theory&algebra
0
votes
0
answers
167
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
Markzuck
asked
in
Mathematical Logic
Jan 10, 2019
by
Markzuck
3.2k
views
discrete-mathematics
relations
functions
set-theory&algebra
0
votes
0
answers
168
If function f and fog are one-one then how is function g also one-one ?
radha gogia
asked
in
Set Theory & Algebra
Jan 3, 2019
by
radha gogia
675
views
functions
0
votes
0
answers
169
Function Pointer question
#include<stdio.h> int main ( ) { int demo ( ); // What is this and what does it do? demo ( ); (*demo) ( ); } int demo ( ) { printf("Morning"); }
gmrishikumar
asked
in
Programming in C
Jan 2, 2019
by
gmrishikumar
842
views
programming-in-c
pointers
array-of-pointers
functions
function-pointers
1
vote
0
answers
170
Zeal Test Series 2019: Set Theory & Algebra - Functions
I think only d) is correct
Prince Sindhiya
asked
in
Set Theory & Algebra
Dec 22, 2018
by
Prince Sindhiya
768
views
set-theory&algebra
functions
discrete-mathematics
zeal
zeal2019
2
votes
1
answer
171
TIFR CSE 2019 | Part A | Question: 6
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 $f:$\ ... . Which of the functions $p,q$ and $r$ must be convex? Only $p$ Only $q$ Only $r$ Only $p$ and $r$ Only $q$ and $r$
Arjun
asked
in
Set Theory & Algebra
Dec 18, 2018
by
Arjun
1.0k
views
tifr2019
set-theory&algebra
functions
convex-sets-functions
non-gate
3
votes
1
answer
172
TIFR CSE 2019 | Part A | Question: 12
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 $g(x) = f(9-x)$. The function $f$ is non-decreasing, so that $f(x) \geq f(y)$ for $x \geq y$. Consider the following statements ... and $g$ ? Only $\text{(i)}$ Only $\text{(i)}$ and $\text{(ii)}$ Only $\text{(iii)}$ None of them All of them
Arjun
asked
in
Set Theory & Algebra
Dec 18, 2018
by
Arjun
1.6k
views
tifr2019
engineering-mathematics
discrete-mathematics
set-theory&algebra
functions
1
vote
0
answers
173
Floor and Ceil
Is below always true? $\lceil 2x \rceil=2.\lceil x \rceil$
Ayush Upadhyaya
asked
in
Set Theory & Algebra
Dec 15, 2018
by
Ayush Upadhyaya
328
views
functions
4
votes
2
answers
174
What is the return value of following function for 484? What does it to in general?
What is the return value of following function for 484? What does it to in general? bool fun(int n) { int sum = 0; for (int odd = 1; n > sum; odd = odd+2) sum = sum + odd; return (n == sum ... is odd or not (D) True, it checks whether a given number is perfect square. Any one can explain output of above program?
Gangani_Son
asked
in
Programming in C
Dec 14, 2018
by
Gangani_Son
2.1k
views
programming-in-c
functions
programming
loop
0
votes
0
answers
175
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()
Mizuki
asked
in
Programming and DS
Dec 9, 2018
by
Mizuki
303
views
programming-in-c
functions
1
vote
1
answer
176
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
aditi19
asked
in
Set Theory & Algebra
Nov 26, 2018
by
aditi19
1.2k
views
kenneth-rosen
discrete-mathematics
functions
set-theory&algebra
4
votes
1
answer
177
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 ?
Prince Sindhiya
asked
in
Set Theory & Algebra
Nov 11, 2018
by
Prince Sindhiya
1.3k
views
zeal
set-theory&algebra
functions
zeal2019
0
votes
1
answer
178
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,a-b) How to prove it is a bijective function?
dan31
asked
in
Set Theory & Algebra
Nov 8, 2018
by
dan31
601
views
discrete-mathematics
functions
0
votes
1
answer
179
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________
Lakshman Bhaiya
asked
in
Combinatory
Oct 24, 2018
by
Lakshman Bhaiya
728
views
discrete-mathematics
functions
2
votes
0
answers
180
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 $h_{9}^{8}(72)?$
Lakshman Bhaiya
asked
in
Set Theory & Algebra
Oct 7, 2018
by
Lakshman Bhaiya
567
views
discrete-mathematics
set-theory&algebra
functions
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