AP EAPCET (DEMO) MATHS RELATIONS AND FUNCTIONS PU1 PAPER

$$f: \mathbf{R} \rightarrow \mathbf{R}, f(x)=x|x|$$ is

Let $$f:[0, \sqrt{3}] \rightarrow\left[0, \frac{\pi}{3}+\log _{e} 2\right]$$ defined by $$f(x)=\log _{e} \sqrt{x^{2}+1}+\tan ^{-1} x$$ then $$f(x)$$ is

If $$f: N \rightarrow N$$ is defined by $$f(n)=n-(-1)^{n}$$, then

Given $$\mathrm{A}=\{\mathrm{x}, \mathrm{y}, \mathrm{z}\}, \mathrm{B}=\{\mathrm{u}, \mathrm{v}, \mathrm{w}\}$$, the function $$f: A \rightarrow B$$ defined by
$$
f(x)=u, f(y)=v, f(z)=w \text { is }
$$

The domain of $$\sqrt{\sin (\cos x)}$$

The domain of the function $$f(x)=\sin ^{-1}\left(\log _{2}\left(\frac{x^{2}}{2}\right)\right)$$ is

The domain of definition of the function, $$f(x)$$ given by the equation $$2^{x}+2^{y}=2$$ is

The domain of the function $$f(x)=\frac{1}{x}+\sin ^{-1} x+\frac{1}{\sqrt{x-2}}$$ is

If $$f: \mathbf{R} \rightarrow \mathbf{R}$$ is defined by $$f(x)=\frac{\sin [x] \pi+\tan [x] \pi}{1+[x]^{2}}$$, then the range of $$\mathrm{f}=$$ (where $$[\mathrm{x}]$$ denotes integral part of x )

The range of $$f(x)=\frac{3}{5+4 \sin 3 x}$$ is

Let $$f: R \rightarrow\left[0 \cdot \frac{\pi}{2}\right)$$ be defined by $$f(x)=\mathrm{Tan}^{-1}\left(x^{2}+x+a\right)$$. Then the set of values of a for which $$f$$ is onto is

The range of $$x^{2}+4 y^{2}+9 z^{2}-6 y z-3 x z-2 x y$$ is

The range of $$\frac{x^{2}-x+1}{x^{2}+x+1}$$ is

The range of $$|x-2|+|x-5|$$ is

The range of the function $$f(x)={ }^{7-x} P_{x-3}$$ is