# Recent questions tagged functions 2 votes
1 answer
1
A function, $\lambda$, is defined by $\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2}, & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{matrix}\right.$ The value of the expression $\dfrac{\lambda \left ( -\left (- 3+2 \right ),\left ( -2+3 \right ) \right )}{\left ( -\left ( -2+1 \right ) \right )}$ is: $-1$ $0$ $\frac{16}{3}$ $16$
5 votes
2 answers
2
Consider the following sets, where $n \geq 2$: $S_1$: Set of all $n \times n$ matrices with entries from the set $\{ a, b, c\}$ $S_2$: Set of all functions from the set $\{0,1,2, \dots, n^2-1\}$ to the set $\{0, 1, 2\}$ Which of the following ... to $S_2$ There exists a surjection from $S_1$ to $S_2$ There exists a bijection from $S_1$ to $S_2$ There does not exist an injection from $S_1$ to $S_2$
0 votes
1 answer
3
Consider the following functions defined from the interval $(0,1)$ to real numbers. Which of these functions attain their maximum value in the interval $(0,1)?$ $f(x)=\frac{1}{x(1-x)}$ $g(x)=-(x-0.75)^2$ $u(x)=\sin(\frac{\pi x}{2})$ $v(x)=x^2+2x$
0 votes
1 answer
4
If $f:\{a,b\}^{\ast}\rightarrow \{a,b\}^{\ast }$ be given by $f(n)=ax$ for every value of $n\in \{a,b\}$, then $f$ is one to one not onto one to one and onto not one to one and not onto not one to one and onto
1 vote
0 answers
5
A polynomial $p(x)$ is such that $p(0)=5, \: p(1)=4, \: p(2)=9$ and $p(3)=20$. The minimum degree it can have is $1$ $2$ $3$ $4$
0 votes
0 answers
6
If $\Delta f(x)= f(x+h)-f(x)$, then a constant $k,\Delta k$ $1$ $0$ $f(k)-f(0)$ $f(x+k)-f(x)$
1 vote
1 answer
7
The keyboard used to transfer control from a function back to the calling function is: switch go to go back return
0 votes
1 answer
8
How many onto (or surjective) functions are there from an $n$-element $(n>=2)$ set to a $2$-element set? $2^n$ $2^n-1$ $2^n-2$ $2(2^n-2)$
0 votes
1 answer
9
The functions mapping $R$ into $R$ are defined as : $f\left(x \right)=x^{3} - 4x, g\left(x \right)=\frac{1}{x^{2}+1}$ and $h\left(x \right)=x^{4}.$ Then find the value of the following composite functions : $h_{o}g\left(x \right)$ and $h_{o}g_{o}f\left(x \right)$ ... $\left ( x^{2}+1 \right )^{-4}$ and $\left [ \left ( x^{3}-4x \right )^{2}+1 \right ]^{-4}$
0 votes
2 answers
10
Which of the following cannot be passed to a function in C++? Constant Structure Array Header file
0 votes
1 answer
11
Which one of the following is correct for overloaded functions in $C++$? Compiler sets up a separate function for every definition of function. Compiler does not set up a separate function for every definition of function. Overloaded functions cannot handle different types of objects. Overloaded functions cannot have same number of arguments.
1 vote
1 answer
12
Define $[x]$ as the greatest integer less than or equal to $x$, for each $x\in \left (- \infty, \infty \right ).$ If $y = [x]$, then area under $y$ for $x\in \left [ 1,4 \right ]$ is _______. $1$ $3$ $4$ $6$
1 vote
1 answer
13
Select the graph that schematically represents BOTH $y=x^{m}\:\text{and}\:y=x^{1/m}$ properly in the interval $0\leq x \leq 1$, for integer values of $m,$ where $m > 1.$
1 vote
1 answer
14
X AND Y is an arbitrary sets, F: $X\rightarrow Y$ show that a and b are equivalent F is one-one For all set Z and function g1: $Z\rightarrow X$ and g2: $Z\rightarrow X$, if $g1 \neq g2$ implies $f \bigcirc g1 \neq f \bigcirc g2$ Where $\bigcirc$ is a fucntion composition.
1 vote
2 answers
15
A superadditive function $f(\cdot)$ satisfies the following property $f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$ Which of the following functions is a superadditive function for $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{-x}$
1 vote
1 answer
16
If $f(x) = x^2$ for each $x\in (-\infty,\infty)$, then $\large \dfrac{f\left(f\left(f(x)\right)\right)}{f(x)}$ is equal to _______. $f(x)$ $(f(x))^2$ $(f(x))^3$ $(f(x))^4$
3 votes
1 answer
17
In the following procedure Integer procedure P(X,Y); Integer X,Y; value x; begin K=5; L=8; P=x+y; end $X$ is called by value and $Y$ is called by name. If the procedure were invoked by the following program fragment K=0; L=0; Z=P(K,L); then the value of $Z$ will be set equal to $5$ $8$ $13$ $0$
2 votes
2 answers
18
If $f(x)$ is a real valued function such that $2f(x)+3f(-x)=15-4x$, for every $x \in \mathbb{R}$, then $f(2)$ is $-15$ $22$ $11$ $0$
2 votes
3 answers
19
If $f(x) = \dfrac{\sqrt{3} \sin x}{2+\cos x}$, then the range of $f(x)$ is the interval $[-1 , \sqrt{3}{/2}]$ the interval $[-\sqrt{3}{/2}, 1]$ the interval $[-1, 1]$ none of these