radomes.openskiesproject.org
mwickerh mwickerh
  • 24-11-2014
  • Mathematics
Answered

Determine whether each function is even, odd, or neither


[/tex]\(f(X)=x^6- x^{2}
\)


\(f(x)=2x^3-x\)

Verified Answer :

konrad509
konrad509 konrad509
  • 24-11-2014

\(f(x)=x^6-x^2\\ f(-x)=(-x)^6-(-x)^2=x^6-x^2\\ f(-x)=f(x) \Rightarrow \hbox{ even}\\\\ f(x)=2x^3-x\\ f(-x)=2(-x)^3-(-x)=-2x^3+x\\ f(-x) ot =f(x) \Rightarrow \hbox{ not even}\\ -f(x)=-(2x^3-x)=-2x^3+x\\ -f(x)=f(-x) \Rightarrow \hbox{ odd}\)

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