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6532bunny
 3 years ago
If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2(x  pi/3), what should be used for Xmin and Xmax? Explain your answer.
P.S. "It only wants the first and last numbers for the domain."
6532bunny
 3 years ago
If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2(x  pi/3), what should be used for Xmin and Xmax? Explain your answer. P.S. "It only wants the first and last numbers for the domain."

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ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.4You want to have two complete periods. The period of cos is 2 pi. The period of this function is pi, because of the 2 before x. So two periods will fit in the interval [0, 2pi]. If you want the graph to begin with the "normal" starting point of the cosfunction, you need to do a bit of extra reasoning: The graph is translated pi/3 to the right, so you also could take as domain: [pi/3, 7pi/3].
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