The functionf(x) = 6.5x2 - 20.4x + 234x2 + 36 models the pH level, f(x), of the human

Chapter 3, Problem 101

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The functionf(x) = 6.5x2 - 20.4x + 234x2 + 36 models the pH level, f(x), of the human mouth x minutesafter a person eats food containing sugar. The graph of thisfunction is shown in the figure.a. Use the graph to obtain a reasonable estimate, to thenearest tenth, of the pH level of the human mouth42 minutes after a person eats food containing sugar.b. After eating sugar, when is the pH level the lowest? Usethe functions equation to determine the pH level, to thenearest tenth, at this time.c. According to the graph, what is the normal pH level ofthe human mouth?d. What is the equation of the horizontal asymptoteassociated with this function? Describe what this meansin terms of the mouths pH level over time.e. Use the graph to describe what happens to the pH levelduring the first hour.

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