Let f : [0, ) [0, 2] be defined by f(x)= 2x 1+x , then f is: - Vidyadip

MCQ

Let $f : [0, \infty) \rightarrow [0, 2]$ be defined by $\text{f(x)}=\frac{2\text{x}}{1+\text{x}},$ then f is:

✓
One$-$one but not onto.
B
Onto but not one$-$one.
C
Both one$-$one and onto.
D
Neither one$-$one nor onto.

✓

Answer

Correct option: A.

One$-$one but not onto.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Relations and Functions→Relations and Functions — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The value of $\int\frac{1}{\text{x}+\text{x}\log\text{x}}\text{ dx}$ is:

Assume that in a family, each chold is equally likely to be a boy or a girl. A family with tree cgildren is chosen at random. Tere probability that the eldest child is a girl given that the family has at least oe girl.

Let $A=\left[a_{i j}\right]_{2 \times 2}$ where $a_{i j} \neq 0$ for all $i, j$ and $A^2=I$. Let a be the sum of all diagonal elements of $A$ and $b =| A |$, then $3 a ^2+4 b ^2$ is equal to

The value of the integral $\int\limits^2_{-2}\big|1-\text{x}^2\big|\text{dx}$ is:

$\int_0^{\pi /2} {x\cot x\,dx} $ equals

The ratio of height of cone of maximum volume inscribed in a sphere to its radius is

The corner points of the bounded feasible region determined by a system of linear constraints are $(0,3),(1,1)$ and $(3,0)$. Let $Z=p x+q y$, where $p, q>0$,. The condition on $p$ and $q$ so that the minimum of $Z$ occurs at $(3,0)$ and $(1,1)$ is

If $A=\left[\begin{array}{ccc}0 & 1 & c \\ -1 & a & -b \\ 2 & 3 & 0\end{array}\right]$ is a skew-symmetric matrix then the value of a + b + c =

Set $A$ has $3$ elements and set $B$ has $4$ elements. The number of injection that can be defined from $A$ to $B$ is

The value of $\hat{i} .(\hat{j} \times \hat{k})+\hat{j} \cdot(\hat{i} \times \hat{k})+\hat{k} \cdot(\hat{i} \times \hat{j})$ is