The function f(x) = x2+36 models the pH level f (x) of the human mouth x minutes after a person eats food containing sugar. a. According to this model, what is the initial pH level of the human mouth? Explain how you found your answer. I b. What happens to the mouth’s pH level over time? Explain how you found your answer. c. Use Desmos to graph the function. Describe the behavior of the function (increasing, decreasing, leveling off) and explain why this function is a good model for the pH level in the mouth.

The function f(x) = x2+36 models the pH level f (x) of the human mouth x minutes after a person eats food containing sugar. a. According to this model, what is the initial pH level of the human mouth? Explain how you found your answer. I b. What happens to the mouth’s pH level over time? Explain how you found your answer. c. Use Desmos to graph the function. Describe the behavior of the function (increasing, decreasing, leveling off) and explain why this function is a good model for the pH level in the mouth.


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