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anonymous

  • one year ago

each function is either even or odd .use f(-x) to state which situation applies f(x)=5x^3-8x please help

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  1. anonymous
    • one year ago
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    do you get the difference between even and odd functions?

  2. anonymous
    • one year ago
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    This is a good resource to start with: http://www.purplemath.com/modules/fcnnot3.htm Feel free to ask if you still have any questions

  3. UnkleRhaukus
    • one year ago
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    Find f(-x) :

  4. anonymous
    • one year ago
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    i will look at it thank you

  5. UnkleRhaukus
    • one year ago
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    \[f(x)=5x^3-8x\] so \[f(-x)=5(-x)^3-8(-x)\] .. can you simplify this?

  6. anonymous
    • one year ago
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    -5x^3+8x

  7. UnkleRhaukus
    • one year ago
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    good, so you found \[f(-x)=-5x^3+8x\] if we now factor out the negative sign\[f(-x)=-(5x^3-8x)\] We have the negative of the original function\[f(-x)=-f(x)\] This is the definition of an odd function.

  8. anonymous
    • one year ago
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    thank you :)

  9. UnkleRhaukus
    • one year ago
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    if we had gotten\[f(-x) = f(x)\], (after simplification), it would have been an even function

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