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Materials:
Functions
Recent questions tagged functions
4
votes
2
answers
211
GATE2018 CH: GA-3
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ . $\left(0,\dfrac{\pi}{2}\right)$ $\left(\dfrac{\pi}{2},\pi\right)$ $\left(\pi,\dfrac{3\pi}{2}\right)$ $\left(\dfrac{3\pi}{2},2\pi\right)$
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ .$\left(0,\dfrac{\pi}{2}\right)$$\left(\dfrac{\pi}{2},\pi\r...
Lakshman Bhaiya
2.7k
views
Lakshman Bhaiya
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-ch
quantitative-aptitude
functions
trigonometry
+
–
14
votes
3
answers
212
GATE2018 ME-1: GA-9
Which of the following functions describe the graph shown in the below figure? $y=\mid \mid x \mid + 1 \mid -2$ $y=\mid \mid x \mid - 1 \mid -1$ $y=\mid \mid x \mid + 1 \mid -1$ $y=\mid \mid x - 1 \mid -1 \mid$
Which of the following functions describe the graph shown in the below figure?$y=\mid \mid x \mid + 1 \mid -2$$y=\mid \mid x \mid - 1 \mid -1$$y=\mid \mid x \mid + 1 \mid...
Arjun
2.6k
views
Arjun
asked
Feb 17, 2018
Quantitative Aptitude
gate2018-me-1
general-aptitude
quantitative-aptitude
functions
absolute-value
+
–
1
votes
1
answer
213
Composition of functions
There exist 3 sets(A,B,C) and 2 functions f and g. g be a function from set A to set B f be a function from set B to set C then composition of both the functions is denoted by $f \circ g$ which exists. Then what is the necessary condition for the following 2 functions for the existence of $g \circ f$ a) Injection b) Surjection c) Bijection d) None of these
There exist 3 sets(A,B,C) and 2 functions f and g.g be a function from set A to set Bf be a function from set B to set Cthen composition of both the functions is denoted ...
Mk Utkarsh
1.8k
views
Mk Utkarsh
asked
Feb 12, 2018
Set Theory & Algebra
discrete-mathematics
functions
+
–
2
votes
1
answer
214
Function
srestha
542
views
srestha
asked
Jan 29, 2018
Set Theory & Algebra
functions
discrete-mathematics
+
–
2
votes
1
answer
215
DOUBT ON FUNCTION DECLARATION WITHIN A FUNCTION IN C
#include <stdio.h> int yellow(); int main() { int hello(); yellow(); printf("%d",hello()); return 0; } int yellow(){ hello(); } int hello() {printf("hello hello "); return 1; } HERE I ... yellow() but it compiles fine and outputs hello hello hello hello 1 ....are local delaration of functions globally scoped in C ??
#include <stdio.h>int yellow();int main(){ int hello(); yellow(); printf("%d",hello()); return 0;}int yellow(){ hello(); }int hello(){printf("hello hello...
Venkat Sai
513
views
Venkat Sai
asked
Jan 17, 2018
Programming in C
functions
programming-in-c
+
–
1
votes
0
answers
216
MadeEasy Test Series: Calculus - Maxima Minima
f(x) = 2x3 – 15x2 + 36x + 1 is increasing in the interval a) b) c)
f(x) = 2x3 – 15x2 + 36x + 1 is increasing in the interval a) b)c)
Kuldeep Pal
303
views
Kuldeep Pal
asked
Jan 6, 2018
Mathematical Logic
made-easy-test-series
calculus
functions
maxima-minima
+
–
1
votes
0
answers
217
functions
How many functions f are there from set A of n elements to itself such that f(a)<f(b) ? (1<=a<=b<=n)
How many functions f are there from set A of n elements to itself such that f(a)<f(b) ? (1<=a<=b<=n)
Anjan
158
views
Anjan
asked
Jan 6, 2018
Set Theory & Algebra
discrete-mathematics
functions
+
–
3
votes
0
answers
218
Maths: functions
Please prove the following: The function $f(x)= e^x$ from the set of real numbers to the set of real numbers is not invertible. But if the $co-domain$ is restricted to the set of positive real numbers, the resulting function is $invertible$.
Please prove the following:The function $f(x)= e^x$ from the set of real numbers to the set of real numbers is not invertible.But if the $co-domain$ is restricted to the ...
Manu Thakur
505
views
Manu Thakur
asked
Dec 31, 2017
Set Theory & Algebra
functions
discrete-mathematics
+
–
1
votes
0
answers
219
Function
Number of possible boolean functions of two binary variables excluding TRUE and FALSE are_____________
Number of possible boolean functions of two binary variables excluding TRUE and FALSE are_____________
srestha
530
views
srestha
asked
Dec 28, 2017
Linear Algebra
functions
discrete-mathematics
+
–
2
votes
0
answers
220
function
Lakshman Bhaiya
307
views
Lakshman Bhaiya
asked
Dec 27, 2017
Set Theory & Algebra
functions
+
–
0
votes
1
answer
221
DOUBTS
Plz solve Question 6.what will be it's output
Plz solve Question 6.what will be it's output
nikkey123
498
views
nikkey123
asked
Dec 22, 2017
Programming in C
programming-in-c
functions
+
–
4
votes
2
answers
222
ISRO-DEC2017-5
Let $f(x)=\log|x|$ and $g(x) =\sin x$. If $A$ is the range of $f(g(x))$ and $B$ is the range of $g(f(x))$ then $A\cap B$ is $[-1,0]$ $[-1,0)$ $[-\infty ,0]$ $[-\infty ,1]$
Let $f(x)=\log|x|$ and $g(x) =\sin x$. If $A$ is the range of $f(g(x))$ and $B$ is the range of $g(f(x))$ then $A\cap B$ is$[-1,0]$$[-1,0)$$[-\infty ,0]$$[-\infty ,1]$
gatecse
3.1k
views
gatecse
asked
Dec 17, 2017
Set Theory & Algebra
isrodec2017
set-theory&algebra
functions
+
–
11
votes
1
answer
223
TIFR CSE 2018 | Part B | Question: 10
For two $n$ bit strings $x,y \in\{0,1\}^{n},$ define $z=x\oplus y$ to be the bitwise XOR of the two strings (that is, if $x_{i},y_{i},z_{i}$ denote the $i^{th}$ bits of $x,y,z$ respectively, then $z_{i}=x_{i}+y_{i} \bmod 2$ ... such linear functions for $n \geq 2$ is: $2^{n}$ $2^{n^{2}}$ $\large2^{\frac{n}{2}}$ $2^{4n}$ $2^{n^{2}+n}$
For two $n$ bit strings $x,y \in\{0,1\}^{n},$ define $z=x\oplus y$ to be the bitwise XOR of the two strings (that is, if $x_{i},y_{i},z_{i}$ denote the $i^{th}$ bits of $...
Arjun
1.5k
views
Arjun
asked
Dec 10, 2017
Set Theory & Algebra
tifr2018
set-theory&algebra
functions
+
–
1
votes
0
answers
224
MadeEasy Subject Test: Engineering Mathematics - Functions
Hi Guys, I think answer should be (D) part because it is not mentioned that function is s Injective. What is your opinion ?
Hi Guys,I think answer should be (D) part because it is not mentioned that function is s Injective. What is your opinion ?
Chhotu
498
views
Chhotu
asked
Nov 26, 2017
Set Theory & Algebra
made-easy-test-series
discrete-mathematics
set-theory&algebra
functions
+
–
0
votes
0
answers
225
Functions
Consider the two functions F(x) = 2 logex G(x) = logex2 Both functions are identical or not??
Consider the two functionsF(x) = 2 logexG(x) = logex2Both functions are identical or not??
akash.dinkar12
453
views
akash.dinkar12
asked
Nov 21, 2017
Set Theory & Algebra
discrete-mathematics
functions
+
–
0
votes
1
answer
226
MadeEasy Subject Test: Engineering Mathematics - Functions
The number of ways possible to form injective function from set A to set B where |A| = 3 and |B| = 5, such that pth element of set A cannot match with pth element of set B are _________. can someone explain this question to me
The number of ways possible to form injective function from set A to set B where |A| = 3 and |B| = 5, such that pth element of set A cannot match with pth element of set ...
nikkey123
722
views
nikkey123
asked
Nov 16, 2017
Set Theory & Algebra
made-easy-test-series
discrete-mathematics
set-theory&algebra
functions
+
–
1
votes
0
answers
227
Asymptotic notations / time complexity
int unknown(int n) { inti, j, k = 0; for (i = n/2; i<= n; i++) for (j = 2; j <= n; j = j * 2) k = k + n/2; return k; } What is the returned value of the above function? (GATE CS 2013) (a) Ѳ(n2) (b) Ѳ(n2 log n) (c) Ѳ(n3) (d) Ѳ(n3 log n)
int unknown(int n) {inti, j, k = 0;for (i = n/2; i<= n; i++)for (j = 2; j <= n; j = j * 2)k = k + n/2;return k;}What is the returned value of the above function? (GATE CS...
NIKU
687
views
NIKU
asked
Nov 14, 2017
Algorithms
asymptotic-notation
algorithms
growth-rate
time-complexity
functions
+
–
2
votes
1
answer
228
Use of macro instead of function is recommended.
Use of macro instead of function is recommended. (a) when one wants to reduce the execution time (b) when there is a loop with a function call inside (c) when a function is called in many places in a program (d) In (a) and (b) above Can some one explain how option 'b' is true?
Use of macro instead of function is recommended.(a) when one wants to reduce the execution time(b) when there is a loop with a function call inside(c) when a function is ...
sunil sarode
3.4k
views
sunil sarode
asked
Nov 4, 2017
Programming in C
programming-in-c
macros
functions
+
–
1
votes
1
answer
229
identify the type of function
Let $f: Z^+ \rightarrow Q$ is a mapping from the set of positive integers to the set of complex numbers, defined as $f(x)=\frac{x}{(2x+1)}, x ∈ z^+$ then which of the following is true? a) f is a bijective mapping b) f is a injective but not surjective mapping c) f is a not injective but surjective mapping d) f is neither injective nor surjective
Let $f: Z^+ \rightarrow Q$ is a mapping from the set of positive integers to the set of complex numbers, defined as $f(x)=\frac{x}{(2x+1)}, x ∈ z^+$ then which of the f...
techbrk3
1.4k
views
techbrk3
asked
Nov 2, 2017
Set Theory & Algebra
set-theory&algebra
functions
+
–
0
votes
1
answer
230
How many relation are there on n to n ? I don't get what it means while I know its result .
hem chandra joshi
336
views
hem chandra joshi
asked
Nov 1, 2017
Mathematical Logic
functions
+
–
2
votes
1
answer
231
Inverse of a function
Consider a function f from A to B such that f : A → B is bijective. f–1 represents inverse of f. Than could we say that f-1 :B->A is also bijective..Please give proper reasoning thanks
Consider a function f from A to B such that f : A → B is bijective.f–1 represents inverse of f.Than could we say that f-1 :B->A is also bijective..Please give proper ...
Shivi rao
800
views
Shivi rao
asked
Oct 7, 2017
Set Theory & Algebra
discrete-mathematics
functions
+
–
2
votes
0
answers
232
Kenneth Rosen Edition 6th Exercise Question 18 c (Page No. 147)
Question Determine whether the following function from R to R is a bijection f(x) = $\frac{(x+1)}{(x+2)}$ Solution: First of all, this is not a function because f(-2) is not defined. So, if the ... } then this function is onto. So, the given function is bijection but with two above mentioned conditions. can someone please confirm?
Question Determine whether the following function from R to R is a bijectionf(x) = $\frac{(x+1)}{(x+2)}$Solution:First of all, this is not a function because f(-2) is not...
Manu Thakur
624
views
Manu Thakur
asked
Sep 18, 2017
Set Theory & Algebra
discrete-mathematics
kenneth-rosen
functions
+
–
0
votes
1
answer
233
Function Composition
For gof to be one-to-one, f must be one-to-one but reverse is not true. Is the above statement correct? According to me both f and g must be one-to-one for gof to be one-to-one. I took below examples: (i) f is one-to-one and g is onto Let A = {1 ... . Here, g(f(1)) and g(f(2)) both gives α which implies that gof is one-to-one. Are above examples correct? If yes, please explain.
For gof to be one-to-one, f must be one-to-one but reverse is not true.Is the above statement correct?According to me both f and g must be one-to-one for gof to be one-to...
aishwarydewangan
1.3k
views
aishwarydewangan
asked
Sep 18, 2017
Set Theory & Algebra
discrete-mathematics
functions
+
–
1
votes
3
answers
234
One to one function
Following is the way of checking the one to one function or Can i use bi implication in between these?If not,then why?
Following is the way of checking the one to one functionorCan i use bi implication in between these?If not,then why?
rahul sharma 5
750
views
rahul sharma 5
asked
Jul 27, 2017
Mathematical Logic
functions
+
–
0
votes
0
answers
235
Kenneth Rosen Edition 6th Exercise 2.3 Question 7 b (Page No. 147)
Find range and domain:- The function that assigns to each positive integer the number of the digits 0,1,2,3,4,5,6,7,8,9 that do not appear as digits in the decimal representation of the integer
Find range and domain:- The function that assigns to each positive integer the number of the digits 0,1,2,3,4,5,6,7,8,9 that do not appear as digits in the decimal repres...
rahul sharma 5
290
views
rahul sharma 5
asked
Jun 9, 2017
Set Theory & Algebra
discrete-mathematics
kenneth-rosen
set-theory&algebra
functions
+
–
8
votes
4
answers
236
ISRO2017-64
What is the output of the following program? #include<stdio.h> int tmp=20; main() { printf("%d", tmp); func(); printf("%d", tmp); } func() { static int tmp=10; printf("%d", tmp); } 20 10 10 20 10 20 20 20 20 10 10 10
What is the output of the following program?#include<stdio.h int tmp=20; main() { printf("%d", tmp); func(); printf("%d", tmp); } func() { static int tmp=10; printf("%d",...
sh!va
5.5k
views
sh!va
asked
May 7, 2017
Programming in C
isro2017
programming-in-c
functions
output
+
–
0
votes
1
answer
237
No of one to one function
No of one to one function from set A={1,2,3,4,5,6,7,8,9} to set B ={x1,x2,x3,x4,x5,x6,x7,.....,xn}
No of one to one function from set A={1,2,3,4,5,6,7,8,9} to set B ={x1,x2,x3,x4,x5,x6,x7,.....,xn}
dragonball
767
views
dragonball
asked
May 2, 2017
Set Theory & Algebra
discrete-mathematics
functions
iiith-pgee
+
–
1
votes
1
answer
238
Find the output of C program
What will be the output of the program? #include<stdio.h> int addmult(int ii, int jj) { int kk, ll; kk = ii + jj; ll = ii * jj; return (kk, ll); } int main() { int i=3, j=4, k, l; k = addmult(i, j); l = addmult(i, j); printf("%d %d\n", k, l); return 0; }
What will be the output of the program?#include<stdio.h int addmult(int ii, int jj) { int kk, ll; kk = ii + jj; ll = ii * jj; return (kk, ll); } int main() { int i=3, j=4...
Archies09
3.2k
views
Archies09
asked
Apr 23, 2017
Programming in C
programming-in-c
functions
+
–
5
votes
1
answer
239
ISI2004-MIII: 23
If $\textit{f}(x)=x^{2}$ and $g(x)=x \sin x +\cos x$ then $f$ and $g$ agree at no point $f$ and $g$ agree at exactly one point $f$ and $g$ agree at exactly two point $f$ and $g$ agree at more then two point
If $\textit{f}(x)=x^{2}$ and $g(x)=x \sin x +\cos x$ then$f$ and $g$ agree at no point$f$ and $g$ agree at exactly one point$f$ and $g$ agree at exactly two point$f$ and ...
Tesla!
1.5k
views
Tesla!
asked
Apr 5, 2017
Calculus
isi2004
engineering-mathematics
functions
+
–
6
votes
1
answer
240
ISI2004-MIII: 22
If $\textit{f}(x)=\frac{\sqrt{3}\sin x}{2+\cos x}$ then the range of $\textit{f}(x)$ is the interval $\left[-1,\frac{\sqrt{3}}{2}\right]$ the interval $\left[\frac{-\sqrt{3}}{2},1\right]$ the interval $\left[-1,1\right]$ none of the above
If $\textit{f}(x)=\frac{\sqrt{3}\sin x}{2+\cos x}$ then the range of $\textit{f}(x)$ isthe interval $\left[-1,\frac{\sqrt{3}}{2}\right]$the interval $\left[\frac{-\sqrt{3...
Tesla!
702
views
Tesla!
asked
Apr 5, 2017
Calculus
isi2004
engineering-mathematics
functions
+
–
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