Question: Let f(x) be a continuous function on [a, b] whose range is [a, b]. Show that there is a point on the graph off(x) that
Let f(x) be a continuous function on [a, b] whose range is [a, b]. Show that there is a point on the graph off(x) that intersects the line y=x. That is, show that there exists a number c which is an element of [a, b] such that f(c) =c.
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