Match the ranges of the functions given in List-$I$ with those of the items given in List-$II$:

List-$I$	List-$II$
$(I) \ 3 \sin^2 x + 4 \cos^2 x - 2$	$(a) \ [\frac{1}{4}, 1]$
$(II) \ \cos^2 x + \sin^4 x$	$(b) \ [-\frac{1}{4}, \frac{1}{4}]$
$(III) \ \sin^6 x + \cos^6 x$	$(c) \ [1, 2]$
$(IV) \ \cos x \cos(\frac{2 \pi}{3} + x) \cos(\frac{2 \pi}{3} - x)$	$(d) \ [\frac{3}{4}, 1]$
	$(e) \ [0, 1]$

• A
  $(I) \rightarrow (c), (II) \rightarrow (d), (III) \rightarrow (a), (IV) \rightarrow (b)$
• B
  $(I) \rightarrow (c), (II) \rightarrow (a), (III) \rightarrow (d), (IV) \rightarrow (b)$
• C
  $(I) \rightarrow (b), (II) \rightarrow (d), (III) \rightarrow (a), (IV) \rightarrow (e)$
• D
  $(I) \rightarrow (b), (II) \rightarrow (e), (III) \rightarrow (d), (IV) \rightarrow (c)$