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Chapter 14: Q20. (page 760)

Find the amplitude if it exists and period of the function y=13sec胃 and then graph the function.

Short Answer

Expert verified

The amplitude of y=13sec胃is undefined.

The period of y=13sec胃 is 2蟺.

Step by step solution

01

Step 1. Write down the given information.

The given function is y=13sec胃.

02

Step 2. Concept used.

A function of the form y=acscbxandy=asecbx has undefined amplitude and period 360掳bor2蟺b.

03

Step 3. Evaluating amplitude and period of the given function.

With the help of concept stated above, the amplitude and period of the function y=13sec胃 is evaluated as:

The amplitude of y=13sec胃is undefined.

The period of y=13sec胃 is 2蟺1=2蟺.

04

Step 4. Sketch the graph for the function.

The graph for the function y=13sec胃 is shown below.

05

Step 5. Conclusion.

The amplitude of y=13sec胃is undefined.

The period of y=13sec胃 is 2蟺.

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