n14r96
Determine algebraically whether the function is even, odd, or neither even nor odd.
Odd
Even
Neither



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n14r96
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function is \[f(x)=x+\frac{ 12 }{ x }\]

hartnn
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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.

mukushla
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\[f(x)=x\frac{12}{x}=(x+\frac{12}{x})=f(x)\]

n14r96
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so is an odd function?

mukushla
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yes it is

mukushla
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how about \[f(x)=x+x^2\]

n14r96
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thanks

mukushla
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no problem :)

n14r96
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neither?

mukushla
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yes

n14r96
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yey!! thank you