3) Suppose that f is a continuous function and is defined on the interval [7,10]. If f(7) = 15 and f(10) =17, then can we conclude that there exists a real number w such that f(w) = 15.8? Choose the best answer. O No, because 15.8 is not between 7 and 10. O Yes, because f is continuous and 15.8 is between 15 and 17. O No, because it is not stipulated that w is between 7 and 10. O Yes, because f must be an increasing function.
3) Suppose that f is a continuous function and is defined on the interval [7,10]. If f(7) = 15 and f(10) =17, then can we conclude that there exists a real number w such that f(w) = 15.8? Choose the best answer. O No, because 15.8 is not between 7 and 10. O Yes, because f is continuous and 15.8 is between 15 and 17. O No, because it is not stipulated that w is between 7 and 10. O Yes, because f must be an increasing function.
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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