SOLUTION: I need some help please If f(x)=4X^3-x symmetric with respect to the x-axis, the y- axis, the origin or none of these thanks for your time

Question 61921: I need some help please
If f(x)=4X^3-x symmetric with respect to the x-axis, the y- axis, the origin or none of these
thanks for your time
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Is f(x)=4X^3-x symmetric with respect to the x-axis, the y- axis, the origin or none of these?
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f(x)=4x^3-x
-f(x)= -4x^3+x
f(-x)= -4x^3+x
-f(-x)=4x^3-x
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y-axis symmetry if f(x)=f(-x)
Not the same so no y-axis symmetry
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x-axis symmetry if f(x)=-f(x)
Not the same so no x-axis symmetry
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origin symmetry if f(x)=-f(-x)
Yes, so there is origin symmetry
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Cheers,
Stan H.

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