Question: Let fbe a continuous function on0,1. Show that if-1f(x)1 for all xin[0,1]then there is a cin[0,1] such that [f(c)]2=c.

Let fbe a continuous function on0,1. Show that if-1f(x)1 for all xin[0,1]then there is a cin[0,1] such that [f(c)]2=c.

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