Question: Suppose F is a continuous function at all point in the interval [0,1]. Also, suppose that all b <1 there is some x so that

"Suppose F is a continuous function at all point in the interval [0,1]. Also, suppose that all b<1 there is some x so that 0 1 and sin(f(x))> b."

I believe this question is related to the intermediate value theorem, but I don't quit understand the meaning of the above sentence. Could you please explain to me what it means? By using words or graph to easy to understand.

thank you. Neat hand writing pls.

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