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1)
![f(-x)=(-x)^{5}=-x^{5}=-f(x) f(-x)=(-x)^{5}=-x^{5}=-f(x)](https://tex.z-dn.net/?f=f%28-x%29%3D%28-x%29%5E%7B5%7D%3D-x%5E%7B5%7D%3D-f%28x%29)
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![f( - x) = frac{4}{ - x} = - frac{4}{x} = - f( x) f( - x) = frac{4}{ - x} = - frac{4}{x} = - f( x)](https://tex.z-dn.net/?f=f%28+-+x%29+%3D++frac%7B4%7D%7B+-+x%7D++%3D++-++frac%7B4%7D%7Bx%7D++%3D++-+f%28+x%29)
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![f( - x) = ( - x) + ( - x) ^{3} = \ = - x - x ^{3} = - ( x + {x}^{3} ) = \ = - f(x) f( - x) = ( - x) + ( - x) ^{3} = \ = - x - x ^{3} = - ( x + {x}^{3} ) = \ = - f(x)](https://tex.z-dn.net/?f=f%28+-+x%29+%3D+%28+-+x%29+%2B+%28+-+x%29+%5E%7B3%7D++%3D++%5C++%3D++-+x+-+x+%5E%7B3%7D++%3D++-+%28+x+%2B++%7Bx%7D%5E%7B3%7D+%29++%3D+%5C++%3D++-+f%28x%29)
4)
![f( - x) = - frac{1}{ {( - x)}^{7} } = - frac{1}{ - {x}^{7} } = \ = frac{1}{ {x}^{7} } = - f(x) f( - x) = - frac{1}{ {( - x)}^{7} } = - frac{1}{ - {x}^{7} } = \ = frac{1}{ {x}^{7} } = - f(x)](https://tex.z-dn.net/?f=f%28+-+x%29+%3D++-++frac%7B1%7D%7B+%7B%28+-+x%29%7D%5E%7B7%7D+%7D++%3D++-++frac%7B1%7D%7B+-++%7Bx%7D%5E%7B7%7D+%7D++%3D+%5C++%3D+++frac%7B1%7D%7B+%7Bx%7D%5E%7B7%7D+%7D++%3D++-+f%28x%29)
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