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Math Help - can a function intercept it's own vertical asymptotes?

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    can a function intercept it's own vertical asymptotes?

    can a function intercept it's own vertical asymptotes?-screen-shot-2012-10-23-7.14.20-pm.png

    According to the materials provided by my school the answer to the above question is yes...but I fail to see how this could be given that (I thought) an asymptote means that the values of the outputs of the function never touch the prescribed asymptote.
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    Re: can a function intercept it's own vertical asymptotes?

    Quote Originally Posted by kingsolomonsgrave View Post
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    According to the materials provided by my school the answer to the above question is yes...but I fail to see how this could be given that (I thought) an asymptote means that the values of the outputs of the function never touch the prescribed asymptote.
    For starters a relation that intersects itself is not single valued and thus cannot be a function...

    -Dan
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    Re: can a function intercept it's own vertical asymptotes?

    That too, I had not thought of that point. Why in the world does my practice exam say that it can?
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