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Chapter 4: Problem 15

State the period of each function. $$y=-3 \sec \frac{x}{4}$$

Short Answer

Expert verified
The period of the given function is \(8蟺\).

Step by step solution

01

Determine the Base Period

Start by finding the period of the secant function, which is \(2蟺\).
02

Adjust the Period

Next, take into account any modifications made to the input of the function (the argument). If the argument is multiplied or divided, the period will be affected. In this case, the input is divided by 4, thus the period will be \(2蟺\) multiplied by \(4\), which is \(8蟺\).
03

State the Period

Now, state the period of the given function. Remember, the coefficient -3 does not affect the period, it only affects the amplitude of the function.

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