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Math Help - Unsure of interpreting continuous function off graph.

  1. #1
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    Unsure of interpreting continuous function off graph.



    I am unsure if i am correct but please correct me if i am. The following assumptions are made from the graph above.

    -The limit as x approaches 2 is positive infinity.
    -the limit as x approaches -1 from the negative direction is positive infinity
    -the limit as x approaches -1 from the positive direction is negative infinity
    -the limit as x approaches negative infinity is 2.
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    Re: Unsure of interpreting continuous function off graph.

    and how many asymptotes are there? I am sure there is an asymptote at x=2 and -1. Are there any horizontal aymptotes?
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    Re: Unsure of interpreting continuous function off graph.

    Quote Originally Posted by johnsy123 View Post
    and how many asymptotes are there? I am sure there is an asymptote at x=2 and -1. Are there any horizontal aymptotes?
    There certainly are. It looks like the function is approaching oscillating around y = 2 as you make x approach -infinity, shouldn't that mean that y = 2 is an asymptote?

    Also, on the right the function is approaching y = 1 as you make x approach infinity. Wouldn't that mean that y = 1 is an asymptote?
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