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Math Help - Families of Curves

  1. #1
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    Families of Curves

    A family of functions is given by

    Find values of a and b so that the function r has a local minimum at the point (5 , 9)

    Find the vertical asymptotes of r with the values of a and b found in part (a).


    ok can someone just help me start this one...it would help alot, thanks

    mathaction
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mathaction View Post
    A family of functions is given by

    Find values of a and b so that the function r has a local minimum at the point (5 , 9)
    I give you two hints:

    first, given that (5,9) is on the graph it means that:

    r(5) = 9 ............(1)


    secondly, since at x = 5 we have a minimum, it means that r'(5) = 0 ........(2)


    thus you will obtain two simultaneous equations where you can solve for the two unknowns

    Find the vertical asymptotes of r with the values of a and b found in part (a).
    this part is trivial once you've completed the first part. just find the x's that make the denominator zero.
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