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Determine whether each function is even, odd, or neither

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

[tex]f(x)=2x^3-x[/tex]

Sagot :

Konrad509idn
[tex]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)\not =f(x) \Rightarrow \hbox{ not even}\\ -f(x)=-(2x^3-x)=-2x^3+x\\ -f(x)=f(-x) \Rightarrow \hbox{ odd} [/tex]
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