Match List-I with List-II

LIST I

Function

LIST II

Range

A.

\(\rm y = \frac{1}{2-sin \ 3 x}\)

I.

[1, 7/3]

B.

\(y=\frac{x^{2}+x+2}{x^{2}+x+1}, x \in R\)

II.

\(\left[\frac{\pi}{2}, \pi\right) \cup\left(\pi, \frac{3 \pi}{2}\right]\)

C.

y = sin x - cos x

III.

[1/3, 1]

D.

y = cot^-1(-x) - tan^-1x + sec^-1 x

IV.

[-√2, √2]

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

(A) - (III), (B) - (II), (C) - (IV), (D) - (I)

(A) - (II), (B) - (III), (C) - (I), (D) - (IV)

(A) - (II), (B) - (III), (C) - (IV), (D) - (I)

LIST I Function		LIST II Range
A.	\(\rm y = \frac{1}{2-sin \ 3 x}\)	I.	[1, 7/3]
B.	\(y=\frac{x^{2}+x+2}{x^{2}+x+1}, x \in R\)	II.	\(\left[\frac{\pi}{2}, \pi\right) \cup\left(\pi, \frac{3 \pi}{2}\right]\)
C.	y = sin x - cos x	III.	[1/3, 1]
D.	y = cot^-1(-x) - tan^-1x + sec^-1 x	IV.	[-√2, √2]