13. Let the function f: [a, b] in R be continuous and one-to-one and such that f(a) < f(b). Let c be a point in the open interval (a, b). Prove that f(a) < f(c) < f(b).
13. Let the function f: [a, b] in R be continuous and one-to-one and such that f(a) < f(b). Let c be a point in the open interval (a, b). Prove that f(a) < f(c) < f(b).
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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13. Let the function f: [a, b] in R be continuous and one-to-one and such that f(a) < f(b). Let c be a point in the open interval (a, b). Prove that f(a) < f(c) < f(b).
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