steve816
  • steve816
Determine whether this function is even or odd
Mathematics
chestercat
  • chestercat
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steve816
  • steve816
\[h(x)=\frac{ -x^3 }{ 3x^2-9 }\]
FireKat97
  • FireKat97
Use these two rules- if h(x) = h(-x) the function is considered even. if -h(x) = h(-x) the function is considered odd.
steve816
  • steve816
I plugged in -x and got neither. Is that right?

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FireKat97
  • FireKat97
so what exactly did you get when you plugged in -x?
steve816
  • steve816
\[h(x)=\frac{ x^3 }{ 3x^2-9 }\]
FireKat97
  • FireKat97
okay and now try and find the function -h(x)
steve816
  • steve816
\[h(x)=\frac{ -x^3 }{ -3x^2+9 }\]
FireKat97
  • FireKat97
No, when you multiply by a negative, you don't have to multiply both the numerator and denominator by the negative. So in this case, you should get \[-\frac{ -x^3 }{ 3x^2 -9}\] and the two negatives should cancel so you get left with \[\frac{ x^3 }{ 3x^2-9 }\]
FireKat97
  • FireKat97
now that you have found h(x) and -h(x) what do you notice
steve816
  • steve816
oooooh silly mistake, so it is ODD!
FireKat97
  • FireKat97
yup :D
steve816
  • steve816
THanks for the help
FireKat97
  • FireKat97
no problem
ytrewqmiswi
  • ytrewqmiswi
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