Question: . Let f : [a, b] R be continuous. Show that there exists c, d in [a, b] so that sup x,y in [a,b]{|f(x) f(y)|}=

. Let f : [a, b] R be continuous. Show that there exists c, d in [a, b] so that sup x,y in [a,b]{|f(x) f(y)|}= f(c) f(d). Hint: your work should invoke the Extreme Value Theorem

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