Question

In: Advanced Math

For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline. f(x) = πcos(3x + π)

For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline.

f(x) = πcos(3x + π)

Solutions

Expert Solution

Consider the following expression:

f(x) = πcos(3x + π)

 

Use maple to plot the graph as follow:

 

Consider the graph plotted of f(x) = -2tan(x – 7π/6) + 2,

General equation,

y = Acos(kx – c) + d

 

Then, period = 2π/|k|.

 

Since, is the periodic function with a period of .

Hence, the amplitude is 3.1 and the period is ,

Thus, the midline in the graph is y = -3.


Hence, the amplitude is 3.1 and the period is ,

Thus, the midline in the graph is y = -3.

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