f(x)= During a heartbeat, a person's blood pressure changes, obeying an approximately sinusoidal relationship where x is time in seconds and f(x) is the pressure in millimeters of mercury (mm Hg). If: - It takes 0.25 second from the point of lowest pressure for the pressure to reach its average value. The average blood pressure is 106 mm Hg. With a heart rate of 60 beats per minute, the time elapsed between one beat and the next is 1 second. Blood pressure varies by 18 mm Hg from the average to the maximum (the systolic pressure) and from the average to the minimum (the diastolic pressure). Determine the appropriate periodic function to model blood pressure during a heartbeat. Amplitude: Period: Phase Shift: Vertical Shift: square square

To determine the appropriate periodic function to model blood pressure during a heartbeat, we can use a sinusoidal function of the form: where:- is the amplitude- is the frequency- is the phase shift- is the vertical shiftGiven the information provided, we can determine the following:Amplitude: The amplitude is the maximum deviation from the average value, g. Therefore, the amplitude is 18 mm Hg.Period: The period is the time elapsed between one beat and the next, which is 1 second. Therefore, the period is 1 second.Phase Shift: The phase shift is the time it takes for the pressure to reach its average value from the point of lowest pressure, which is 0.25 seconds. Therefore, the phase shift is -0.25 seconds.Vertical Shift: The vertical shift is the average blood pressure, which is 106 mm Hg. Therefore, the vertical shift is 106 mm Hg.Substituting these values into the sinusoidal function, we get: Therefore, the appropriate periodic function to model blood pressure during a heartbeat is: