Correct answer: (A) f(x)>0 for x>0 and f(x)<0 for x<0.
Explanation
Set g(x)=e^(2x)f(x). Then g′=e^(2x)(f′+2f)>0 everywhere,so g is strictly increasing and g(0)=0. Therefore g and hence f are positive to the right and negative to the left of zero. **A**.
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