Results 1 to 3 of 3

Math Help - Odd and Even Functions

  1. #1
    Member
    Joined
    Sep 2008
    Posts
    222

    Odd and Even Functions

    Hey this is on the Barron's SAT Math IIC Book page 45

    Which of the following functions is neither odd nor even?

    a) {(1,2),(4,7), (-1,2), (0,4), (-4,7)}

    c) {(x,y):y=x^3-1}

    why is a) even or odd?

    and isn't c) odd?

    Thanks in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,329
    Thanks
    1243
    Quote Originally Posted by fabxx View Post
    Hey this is on the Barron's SAT Math IIC Book page 45

    Which of the following functions is neither odd nor even?

    a) {(1,2),(4,7), (-1,2), (0,4), (-4,7)}

    c) {(x,y):y=x^3-1}

    why is a) even or odd?

    and isn't c) odd?

    Thanks in advance
    For a function y(x) to be even, then y(-x) = y(x), and for y(x) to be odd, then y(-x) = -y(x).

    For a), since y(-1) = y(1) = 2 and y(-4) = y(4) = 7, the function is even.

    For c), all you need is a counter-example.

    Pick two x values of the same magnitude, say -1 and 1.

    y(-1) = (-1)^3 - 1 = -1 - 1 = -2

    y(1) = 1^3 - 1 = 1 - 1 = 0.

    Since y(-x) \neq -y(x), the function can't be odd.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Sep 2008
    Posts
    222
    But how about for a) (0,4)? The inverse isn't listed. Does this mean that the function is still even?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: April 15th 2010, 05:50 PM
  2. Replies: 3
    Last Post: February 23rd 2010, 04:54 PM
  3. Replies: 11
    Last Post: November 15th 2009, 11:22 AM
  4. Replies: 7
    Last Post: August 12th 2009, 04:41 PM
  5. Replies: 1
    Last Post: April 15th 2008, 09:00 AM

Search Tags


/mathhelpforum @mathhelpforum