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Math Help - [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
    A riddle wrapped in an enigma
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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.

    y=\tan bx

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

    Compare the given equation with the general form.

    y=\tan 3x

    b=3

    Find the period:

    Period = \frac{\pi}{3}

    Find the interval for one cycle:

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

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

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

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