List of top Mathematics Questions on Relations and functions asked in KEAM

Let $A=\{1,2,3\}$ and $B=\{1,2,3,4\}$ and let $R:A\rightarrow B$ be a relation. If $R=\{(1,2), (2,3), (3,4)\}$, then $R\circ R$ is

Let \( f(x)=(1-1/x)2,x>0\). Then

Let \(f(x) =   \begin{cases}     x+2       & for\ x\lt\ 1 \\     4x-1  & for\ 1\leq x \leq3 \\ x^2+5 & for\ x\gt3   \end{cases}\). Then

Let A = {1,2,3,4,5} and let B={1,2,3,4}. If the relation R : A → B is given by (a, b) ∈ R if and only if a+b is even, then n(R) is equal to

A relation R on (0, 1, 2) is given by R = {(0,0), (1, 1), (0, 1), (2, 2), (1, 2)). Then the relation R is

Let f(x) = [x], x ∈ R, where [x] denotes the greatest integer ≤ x. Then the images of the elements -4.6 and 2.7 are respectively

Let f(x) = x² and \(g(x) = \sqrt{9+x}\). Then the value of \((f^\circ g-g^\circ f)(4)\) is equal to

The domain of the function $f \left(x\right)=\frac{\log_{2}\left(x+3\right)}{x^{2}+3x+2}$ is

The number of functions that can be defined from the set $A \,= \{a, b, c, d\}$ into the set $B\, =\{1,2,3\}$ is equal to