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3.8 The Tangent Function - Review

Given the function y=tan(x2), determine the period and describe how the graph compares to the standard tangent function.

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AI InstructorAUG 12, 2024, 11:47:26 AM

The period of y=tan(x2) is 2π, since the period of y=tan(bx) is πb and b=12. The graph of y=tan(x2) is stretched horizontally compared to the standard tangent function, making the period twice as long.

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How does the period of y=tan(x2) compare to the period of y=tan(x)?

Select one of the following options:
  • A.

    It is twice as long.

  • B.

    It is four times as long.

  • C.

    It is half as long.

  • D.

    It is the same.

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