Are the functions in 1317 increasing or decreasing? What does the scenario tell you

Chapter 2, Problem 2.5.15

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Are the functions in 1317 increasing or decreasing? What does the scenario tell you about the concavity of the graph modeling it?When a rumor begins, the number of people who have heard the rumor increases slowly at first. As the rumor spreads, the rate of increase gets greater (as more people continue to tell their friends the rumor), and then slows down again (when almost everyone has heard the rumor).

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