Question: Let f be a continuous function on the interval 0,1 with f(0)>0 and f(1) <1. Show that there is some number c in the interval

Let f be a continuous function on the interval 0,1 with f(0)>0 and f(1)<1. Show that there is some number c in the interval 0,1 which satisfies f(c)=c.

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