The number of all onto functions from the set {1, 2, .......n} to itself is

The function $f: [-1, 1] \rightarrow R$ (set of real numbers) given by $f(x) = \frac{x}{x+3}$ is

The range of function $f(x) = 4x^2 + 12x + 7, x \in \mathbb{R}$ is

Which of the following figures shows a bijective function from set $X_1$ to set $X_2$ :

Choose the correct answer from the options given below :

Relation R on Real Numbers is defined as $R = \{(a, b) : a \leq b\}$. The relation is :

If a function $f: R \to T$, defined by $f(x) = \sqrt{3}\sin x + \cos x$ is an onto function, then the interval of $T$ is

The function $f: \mathbb{R} \rightarrow [-1, 1]$ defined by $f(x) = \cos x$ is: