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The Function F(t)is Graphed Below and We Define F(x)=0xf(t)dtF(x)=\int_{0}^{x} f(t) d t

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The function f(t)is graphed below and we define F(x)=0xf(t)dtF(x)=\int_{0}^{x} f(t) d t .  The function f(t)is graphed below and we define  F(x)=\int_{0}^{x} f(t) d t  .   Is  F(x)  concave down for x =1/2? Is F(x)F(x) concave down for x =1/2?


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