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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- Nov 9th 2009, 08:29 AMiluvmathbutitshardFinding 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? - Nov 9th 2009, 08:39 AMskeeter
$\displaystyle y = \frac{1}{2}\sec\left(\frac{\pi}{2} \cdot x\right)$

$\displaystyle y = \frac{1}{2\cos\left(\frac{\pi}{2} \cdot x\right)}

$

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

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