Results 1 to 2 of 2

Math Help - vertical line test

  1. #1
    Member
    Joined
    Jan 2008
    Posts
    91

    vertical line test

    x^4 - 9x^2 - y^4 + 9y^2 = -12

    a) Can this curve be represented by a function as y = f(x)?? explain your answer. ----> I know that the answer to this is NO because it doesnt pass the vertical line test so cant be expressed as y=f(x)

    b) Can this curve be represented by a function as x = g(y)?? explain your answer. -----> i'm not quite sure what to do about this one.. is the answer to this no also as it doesnt pass the horizontal line test??

    help please
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member topher0805's Avatar
    Joined
    Jan 2008
    From
    Vancouver
    Posts
    336
    You are correct, it can not be expressed as a function of y because it does not pass the horizontal line test.

    Another way of stating that would be to say that the curve can not be represented by a function x = g(y) because the inverse of the function does not exist because it does not pass the vertical line test.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Symmetry about a vertical line (like x = c, c not zero).
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 18th 2011, 08:18 AM
  2. Find Vertical Line Intersecting Parabola Only Once
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: September 7th 2011, 11:11 AM
  3. Vertical / Horizontal Line Test
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 18th 2011, 12:07 PM
  4. Vertical line (between a and b)
    Posted in the LaTeX Help Forum
    Replies: 3
    Last Post: August 29th 2009, 10:59 AM
  5. Coordinates where tangent line is vertical?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 5th 2008, 06:51 PM

Search Tags


/mathhelpforum @mathhelpforum