During a diagnostic evaluation, a 33-year-old woman experienced a panic attack a few minutes after she had been asked to relax her whole body. The graph shows the rapid increase in heart rate during the panic attack.

a. For which time periods during the diagnostic evaluation was the woman’s heart rate increasing?b. For which time periods during the diagnostic evaluation was the woman’s heart rate decreasing?c. How many turning points (from increasing to decreasing or from decreasing to increasing) occurred for the woman’s heart rate during the first 12 minutes of the diagnostic evaluation?d. Suppose that a polynomial function is used to model the data displayed by the graph using (time during the evaluation, heart rate). Use the number of turning points to determine the degree of the polynomial function of best fit.e. For the model in part (d), should the leading coefficient of the polynomial function be positive or negative? Explain your answer.f. Use the graph to estimate the woman’s maximum heart rate during the first 12 minutes of the diagnostic evaluation. After how many minutes did this occur?g. Use the graph to estimate the woman’s minimum heart rate during the first 12 minutes of the diagnostic evaluation. After how many minutes did this occur?

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Heart Rate (beats per minute) Heart Rate before and during a Panic Attack 120 110 100 90 80 Basolino 70 60 Panio Attack Relaxation Onset of Panic Attack 0 1 2 3 4 5 6 7 8 9 10 11 12 Time (minutes)