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Math Help - Even/Odd Function Tables

  1. #1
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    Smile Even/Odd Function Tables

    (1) Fill in the table for the following even function:

    x............f(x)

    -2............5
    -1............2
    0............1
    1............?
    2............?

    I am told to use f(-x) = f(x)


    ===================

    Fill in the table for the following odd function:

    x..........f(x)
    -2..........5
    -1..........2
    0...........?
    1...........?
    2...........?

    I am told to use f(-x) = -f(x)


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  2. #2
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    Quote Originally Posted by magentarita View Post
    (1) Fill in the table for the following even function:

    x............f(x)

    -2............5
    -1............2
    0............1
    1............?
    2............?

    I am told to use f(-x) = f(x)
    They why don't you DO that? You want to find f(2) and you know that f(-2)= -1. What is f(2)?


    ===================

    Fill in the table for the following odd function:

    x..........f(x)
    -2..........5
    -1..........2
    0...........?
    1...........?
    2...........?

    I am told to use f(-x) = -f(x)
    You are told that f(-2)= 5, so now f(2)= what?

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  3. #3
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    no...

    Quote Originally Posted by HallsofIvy View Post
    They why don't you DO that? You want to find f(2) and you know that f(-2)= -1. What is f(2)?


    You are told that f(-2)= 5, so now f(2)= what?
    Sorry but I don't follow your reply.
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  4. #4
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    Quote Originally Posted by HallsofIvy View Post
    They why don't you DO that? You want to find f(2) and you know that f(-2)= -1. What is f(2)?


    You are told that f(-2)= 5, so now f(2)= what?
    Quote Originally Posted by magentarita View Post
    Sorry but I don't follow your reply.
    You're told that f(x) is even. Therefore f(-x) = f(x).

    Therefore f(-2) = f(2). but f(-2) = 5. Therefore 5 = f(2).

    Get it now?

    Exactly the same logic applies to finding f(1). Similar logic is used for the second question.
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  5. #5
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    ok...

    Quote Originally Posted by mr fantastic View Post
    You're told that f(x) is even. Therefore f(-x) = f(x).

    Therefore f(-2) = f(2). but f(-2) = 5. Therefore 5 = f(2).

    Get it now?

    Exactly the same logic applies to finding f(1). Similar logic is used for the second question.
    Now it makes more sense.
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