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Math Help - first calculus assignment of the year

  1. #1
    OCD
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    first calculus assignment of the year

    Hi, first post here. Also first calculus assignment; it's called preparation for calculus so I feel like it's supposed to be easy, and I feel a bit of shame that I'm asking for help, but here goes.

    1. Find the intercepts (if any).
    y=(x-1)/(x-2)

    2. Check for symmetry with respect to both axes and to the origin. Show work.
    x^2y-x^2+4y=0


    I hope this is in the right place (it may really be more of pre-calculus work) and thanks!
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by OCD View Post
    Hi, first post here. Also first calculus assignment; it's called preparation for calculus so I feel like it's supposed to be easy, and I feel a bit of shame that I'm asking for help, but here goes.

    1. Find the intercepts (if any).
    y=(x-1)/(x-2)

    2. Check for symmetry with respect to both axes and to the origin. Show work.
    x^2y-x^2+4y=0


    I hope this is in the right place (it may really be more of pre-calculus work) and thanks!
    1. when y is zero, what is x? Conversly, when x is zero, what is y?

    2. Begin by solving for y.

    a)if your insert any -x and x which both yield a positive y, then there is symetry about y.

    b)If x gives y, and -x gives -y, thenthere is symetry about the origin.

    c) assuming that y is not a function, then if x gives two values of y (+/-y), then there is symetry about the x axis.
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  3. #3
    OCD
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    thanks! I think I've got 1 now.

    The problem with # two is splitting up the x and the y at the beginning. That's where I keep getting stuck because I subtract -x^2 from the left side and then try to divide the other x^2 to separate it from the y, but I know this isn't right.
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