Question 1 :
The function $ f:Z\rightarrow Z$, $f(x)=\begin{cases}0 & \text{ if } x \text{ is  odd} \\\dfrac{x}{2} & \text{ if } x  \text{is  even} \end{cases}$  then $f$ is<br/>
Question 2 :
If the function $f : R \rightarrow R$ is defined by $f(x) = (x^2+1)^{35} \forall \in R$, then $f$ is
Question 3 :
The function $f:A\rightarrow B$ given by $f(x),x\in A$, is one to one but not onto. Then;
Question 4 :
The relation 'is a factor of' on the set of natural numbers is not___________
Question 5 :
Let $A = \left\{p,q,r\right\}$. Which of the following is an equivalence relation in $A$?
Question 6 :
Let $A = \left \{1, 2, 3\right \}$. Then number of relations containing $(1, 2)$ and $(1, 3)$ which are reflexive and symmetric but not transitive is<br/><br/>
Question 7 :
Let $f:R\rightarrow R$ be a function defined by $f(x)=\cfrac { { e }^{ \left| x \right|  }-{ e }^{ -x } }{ { e }^{ x }+{ e }^{ -x } } $, then
Question 8 :
The function $f: [0, 3]$ $\rightarrow$ $[1, 29]$, defined by $f(x) = 2x^3-15x^2 + 36x+ 1$, is<br>
Question 9 :
If $f:R\rightarrow S$ defined by<br/>$f(x)=4\sin { x } -3\cos { x } +1$ is onto, then $S$ is equal to
Question 10 :
Let $\displaystyle f\left ( x \right )=\frac{ax^{2}+2x+1}{2x^{2}-2x+1}$, the value of $a$ for which $\displaystyle f:R\rightarrow \left [ -1,2 \right ]$ is onto , is<br>
