If f(x+y) = f(x)f(y), which of followings can be the value of f(0)? I. 0 II. 1 III. 2

Correct answer marked below

A

I only

B

II only

C

III only

I and II only

Correct

E

I, II and III

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Explanation

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Official Explanation

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Set

x=y=0

, we get

f(0)=f(0)*f(0) \Rightarrow f(0)=\{f(0)\}^2

\{f(0)\}^2-f(0)=0 \Rightarrow f(0)[f(0)-1]=0

…

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