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Thread: [SOLVED] help with asymptopes

  1. #1
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    [SOLVED] help with asymptopes

    okay, I don't know how to do this and I have 7 other problems just like it. So can someone help with me this please?

    ::Problem::
    Find the first TWO non-negative asymptotes and the first negative asymptote of the graph of in radians


    .


    smallest non-negative asymptote:


    second non-negative asymptote:
    first negative asymptote:
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  2. #2
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    Quote Originally Posted by lsnyder View Post
    okay, I don't know how to do this and I have 7 other problems just like it. So can someone help with me this please?

    ::Problem::
    Find the first TWO non-negative asymptotes and the first negative asymptote of the graph of in radians


    .


    smallest non-negative asymptote:


    second non-negative asymptote:
    first negative asymptote:
    Hi lsnyder,

    Write the general form of the equation of a tangent function.

    $\displaystyle y=\tan bx$

    The period is $\displaystyle \frac{\pi}{b}$

    Compare the given equation with the general form.

    $\displaystyle y=\tan 3x$

    $\displaystyle b=3$

    Find the period:

    Period = $\displaystyle \frac{\pi}{3}$

    Find the interval for one cycle:

    $\displaystyle -\frac{\pi}{2b} \ \ to \ \ \frac{\pi}{2b}$

    $\displaystyle -\frac{\pi}{6} \ \ to \ \ \frac{\pi}{6}$

    Since vertical asymptotes occur at the end of each cycle, the two asymptotes are at$\displaystyle x=\pm \frac{\pi}{6}$

    Another positive asymptote occurs at $\displaystyle x=\frac{\pi}{2}$
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