Question: I know that you need part (a)todo part (b). Please mainly explain part (b) Let f:RRbe continuous, suppose f satisfies the functional equationAAx,yinR,f(x+y)=f(x)f(y)and f(0)=1.(a) Let

I know that you need part (a)todo part (b). Please mainly explain part (b) Let f:RRbe continuous, suppose f satisfies the functional equationAAx,yinR,f(x+y)=f(x)f(y)and f(0)=1.(a) Let F(z)=0zf(t)dtbe the indefinite integral off with basepoint 0. Prove that Fisan antiderivative offonR.(b) Prove that there exists z0>0 such that F(z0)>0.

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