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n14r96

  • 3 years ago

Determine algebraically whether the function is even, odd, or neither even nor odd. Odd Even Neither

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  1. n14r96
    • 3 years ago
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    function is \[f(x)=x+\frac{ 12 }{ x }\]

  2. hartnn
    • 3 years ago
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    Find f(-x) by replacing x in f(x) by -x. If f(-x) = f(x), then the function is even If f(-x) = -f(x), then the function is odd else neither.

  3. mukushla
    • 3 years ago
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    \[f(-x)=-x-\frac{12}{x}=-(x+\frac{12}{x})=-f(x)\]

  4. n14r96
    • 3 years ago
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    so is an odd function?

  5. mukushla
    • 3 years ago
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    yes it is

  6. mukushla
    • 3 years ago
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    how about \[f(x)=x+x^2\]

  7. n14r96
    • 3 years ago
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    thanks

  8. mukushla
    • 3 years ago
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    no problem :)

  9. n14r96
    • 3 years ago
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    neither?

  10. mukushla
    • 3 years ago
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    yes

  11. n14r96
    • 3 years ago
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    yey!! thank you

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