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Math Help - Function help..

  1. #1
    Junior Member
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    Talking Function help..

    Need some help here..


    Consider the function f(x) = x / x+ 2

    a) show that f'(x) > 0 for all x in the domain

    b) State the equation of the horizontal asymptote of y = f(x)

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  2. #2
    MHF Contributor

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    Re: Function help..

    Quote Originally Posted by Deci View Post
    Need some help here..


    Consider the function f(x) = x / x+ 2
    You mean f(x)= x/(x+ 2), right? What you wrote is f(x)= 1+ 2= 3!

    a) show that f'(x) > 0 for all x in the domain
    What is the derivative? Do you know the "quotient rule"?

    b) State the equation of the horizontal asymptote of y = f(x)
    Dividing both numerator and denominator of f(x)= \frac{x}{x+ 1} gives
    \frac{1}{1+ \frac{1}{x}}
    What happens as x "goes to infinity"?

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    Thanks from Deci
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  3. #3
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    Re: Function help..

    Function help..-graph001.png
    Thanks from Deci
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  4. #4
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    Re: Function help..

    Thanks.. i solved a .. 1 by infinity is 0. So y=1 is the asymptote. Is it?
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