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Math Help - Finding the period of a function?

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    Finding the period of a function?

    Ok, so my assignment is to match a function with its graph. The function given is y = 1/2 sec (pi x)/(2).
    So, to identify which graph matches, I would have to find the period and 2 asymptotes.

    How would I do this?
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  2. #2
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    Quote Originally Posted by iluvmathbutitshard View Post
    Ok, so my assignment is to match a function with its graph. The function given is y = 1/2 sec (pi x)/(2).
    So, to identify which graph matches, I would have to find the period and 2 asymptotes.

    How would I do this?
    y = \frac{1}{2}\sec\left(\frac{\pi}{2} \cdot x\right)

    y = \frac{1}{2\cos\left(\frac{\pi}{2} \cdot x\right)}<br />

    period, T = \frac{2\pi}{B} = \frac{2\pi}{\frac{\pi}{2}} = 4

    asymptotes will be the values of x that make \cos\left(\frac{\pi}{2} \cdot x\right) = 0 ... that should be rather easy to determine.
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