Recent questions tagged functions

Let $f : [0, \infty ) \rightarrow \mathbb{R}$ be a differentiable function with $f(0) = 1$ and $f(x) f’ (x) 0$, for all $x$. Let $\text{A} (n)$ be the area of region bou...

Let $f : \mathbb{R}\rightarrow \mathbb{R}$ be a continuously differentiable function and $f(1) = 4$. Then the value of$$\lim_{x\rightarrow 1}\int_{4}^{f(x)}\frac{2t}{x - ...

Let $x_{1}, x_{2},…, x_{n} \in \mathbb{R}$ be distinct reals. Define the set$$\text{A} = \left \{ \left ( f_{1}(t), f_{2} (t), \dots, f_{n}(t)\right ):t \in\mathbb{R} \ri...

Consider the following $\text{C}$ function :int f(int n) { static int i = 1; if (n = 5) return n; n=n + i;i++; return f(n); }The value returned by $\text{f}(1)$ is :$5$$...

Let $f$ be a function from a set $X$ to a set $Y$. Consider the following statements.$P:$ For each $x \in X$, there exists $y \in Y$ such that $f(x)=y$.$Q$ : For each $y ...

Let $\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}$ and $\mathrm{g}: \mathrm{B} \rightarrow \mathrm{C}$ be maps.Which of the following is/are true?If $f$ and $g$ are both...

#include<stdio.h int test(int *a, int *b) { int c = *a-*b; if (c<0) return 0; else return (1 + test(&c, b)); } void main() { int x = 15; int y = 4; int a = test(&x,&y); p...

simplify the following logic functionf(ABC)USING k-MAP f(ABC)=(A+B+C') .(A+B'+C')

Let $\text{Z}$ be the set of all integers. Which of these functions from $\text{Z}$ to $\text{Z}$ is not Onto$f(n) = n-1$$f(n) = n^{2} + 1$$f(n) = n^{3}$$f(n) = \left \lf...

Which of the following statements must be true?$\left \lfloor x \right \rfloor = \left \lceil x \right \rceil$ if and only if $x$ is an integer.$\left \lfloor x \right \r...