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Q.

If f:R→R is defined by f(x)=2x−2[x] for x∈R, where [x] is the greatest integer not exceeding x, then the range of f is

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a

x∈R;0≤x≤1

b

{0, 1}

c

x∈R;x>0

d

x∈R;x<0

answer is B.

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x∈R⇒∃n∈Zn≤x
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If f:R→R is defined by f(x)=2x−2[x] for x∈R, where [x] is the greatest integer not exceeding x, then the range of f is