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Math Help - parameters Function

  1. #1
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    parameters Function

    In the picture you can see the Function. is known that a,b are Positive.

    who from the Following Finding are correct ?(can be more than one )

    1)Y=a/b is an Horizontal Asymptotic for the f Graph

    2)there is no any vertical Asymptotic for this Function

    3)f(x) are Continuous for any x

    4)f(x) are Rising for any x

    thanks.
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Since the denominator is always positive and e^{-x} is continous everywhere, f(x) is continuous for any x. So, 3) is correct.

    How about trying the others yourself?
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  3. #3
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    well tell me if i correct if a,b is positive and i know e^x are always Rising up so i think 4 is correct.

    can you help me to find the Derivative ? than i will can find if 1 and 2 are correct.

    I just know that for the Function e^x there is no any vertical Asymptotic but here is not the same case Exactly.

    thank you.
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