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Recent questions tagged functions

1 1 vote
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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)
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3 3 votes
2 2 answers
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Continuity and Differentiability of root mod function
1) Consider f(x) = $|x|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both.2) Consider f(x) = $|x-1|^{3/2}$ Check for Differen...
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3 3 votes
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1.2k
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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 ...
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1 1 vote
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Function
Number of possible boolean functions of two binary variables excluding TRUE and FALSE are_____________
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function
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DOUBTS
Plz solve Question 6.what will be it's output
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1 1 vote
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Domain of Mod-Trigo function ALLEN2017
For existence of f(x) = , x lies in (take n I)(1)[0, 2nπ](2)(3)(4)None of thesehow to solve such question? Pl give detailed explanation.Always find difficult to solve Ra...
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6 6 votes
2 2 answers
4.6k
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ISRO-DEC2017-9
The function $f:[0,3]\rightarrow [1,29]$ defined by $f(x)=2x^{3}-15x^{2}+36x+1$ isinjective and surjectivesurjective but not injectiveinjective but not surjectiveneither ...
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4 4 votes
2 answers 2 answers
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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]$
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12 12 votes
1 answers 1 answer
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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 $...
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1 1 vote
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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 ?
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Functions
Consider the two functionsF(x) = 2 logexG(x) = logex2Both functions are identical or not??
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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 ...
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1 1 vote
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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...
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2 2 votes
1 answers 1 answer
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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 ...
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1 1 vote
1 answers 1 answer
1.7k
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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 fol...
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1 1 answer
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How many relation are there on n to n ? I don't get what it means while I know its result .
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2 2 votes
1 answers 1 answer
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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 reas...
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2 2 votes
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Kenneth Rosen Edition 6th Exercise Question 18 c (Page No. 147)
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...
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1 1 answer
1.6k
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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...
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1 1 vote
3 3 answers
1.9k
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One to one function
Following is the way of checking the one to one functionorCan i use bi implication in between these?If not,then why?
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614
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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 repres...
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2 2 votes
2 answers 2 answers
940
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Test by Bikram | Mathematics | Test 2 | Question: 14
Given $f : Z^*Z \rightarrow Z$And:$f(m,n) = \mid m \mid – \mid n \mid$$f(m,n) = m2 + n2$$f(m,n) = m2 – 4$$f(m,n) = 2m – n$ Which one of the following options is correct?...
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1 1 vote
1 answers 1 answer
650
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Test by Bikram | Mathematics | Test 2 | Question: 13
With reference to the above diagram:$f$ is onto, $g$ is onto $\implies \: g.f$ is onto.if $g.f$ is one-to-one $\implies \: g$ and $f$ both need to be one-to-one.if $g.f$ ...
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1 1 vote
2 answers 2 answers
1.8k
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Test by Bikram | Mathematics | Test 2 | Question: 12
The total number of functions from the set $\{1,2,3,4, \dots ,10\}$ to the set $\{0,1\}$ that assign $1$ to exactly one of the positive integers less than $10$ are ______...
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4 4 votes
1 answers 1 answer
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Test by Bikram | Programming | Test 2 | Question: 18
Point out the error : #include <stdio.h void f(int*); int main() { int i=35,*z; z=f(&i); printf("%d",z); return 0; } void f(int*m) { return(m+2); }error in function calle...
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0 0 votes
1 answers 1 answer
429
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Test by Bikram | Programming | Test 2 | Question: 7
The value of p after execution of the following program will be:int new(int t) { static int cal=0; cal=cal+t; return(cal); } main() { int t,p; for(t=0;t<=4;t++) p= new(t)...
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2 2 votes
1 1 answer
788
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Test by Bikram | Programming | Test 2 | Question: 1
Consider the following C program using function : #include<stdio.h main() { int f1(int,int); int x = 9, n=3, S; S = f1(x,n); printf(S); } int f1(int x, int n) { int y=1,...
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9 9 votes
5 answers 5 answers
7.1k
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ISRO CSE 2017 | Question: 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",...
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0 0 votes
1 answers 1 answer
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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}
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