4. Suppose that fis continuous on [a, b] and f(a) < k < f(b). (a) Show that the proof of the IVT generates the largest c e [a, b] for which f(c) = k. (b) How could the set {x E [a, b] | f(x) > k} be used to find the smallest c e [a, b] for which f(c) = k? %3D
4. Suppose that fis continuous on [a, b] and f(a) < k < f(b). (a) Show that the proof of the IVT generates the largest c e [a, b] for which f(c) = k. (b) How could the set {x E [a, b] | f(x) > k} be used to find the smallest c e [a, b] for which f(c) = k? %3D
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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