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Math Help - Even & Odd functions

  1. #1
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    Even & Odd functions

    I have 2 problems that i think are probably solved the same way...

    Given that the point is on a graph of the function and that is an odd function, find another point on the graph of .

    &

    Given that the point is on a point on the graph of the function and is an even function, find another point on the graph of .

    Now i know(x)=(x) means it's even and (x)=-(x) means it's odd.. but how do i come up with the function to input the (x,y) values?

    (x)=x^3......
    -8=-7^3......
    then re-arrange and solve for .......?

    Thanks
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  2. #2
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    Quote Originally Posted by xsavethesporksx View Post
    I have 2 problems that i think are probably solved the same way...

    Given that the point is on a graph of the function and that is an odd function, find another point on the graph of .

    &

    Given that the point is on a point on the graph of the function and is an even function, find another point on the graph of .

    Now i know(x)=(x) means it's even and (x)=-(x) means it's odd.. but how do i come up with the function to input the (x,y) values?

    (x)=x^3......
    -8=-7^3......
    then re-arrange and solve for .......?

    Thanks
    you are given f(-7) = -8

    for an odd function ... f(-x) = -f(x)

    f(-7) = -f(7)

    -8 = -f(7)

    f(7) = 8 ... your other point.


    for an even function ... f(-x) = f(x)

    now work with your given point.
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  3. #3
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    so i had most the information that i needed i just didn't put all the pieces together.

    Thanks!
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