SOLUTION: Can someone help me understand this problem Determine whether the graph of y=3x^6 - 2x^4 is symmetric with respect to the x-axis, the y-axis, and/or the origin.

Question 72653: Can someone help me understand this problem
Determine whether the graph of y=3x^6 - 2x^4 is symmetric with respect to the x-axis, the y-axis, and/or the origin.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine whether the graph of y=3x^6 - 2x^4 is symmetric with respect to the x-axis, the y-axis, and/or the origin.
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Need to find f(-x)= 3x^6-2x^4
Need to find -f(-x) = -3x^6 +2x^4
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Since f(x)=f(-x) you have y-axis symmetry
Since f(x) does not equal -f(-x) you do not have origin symmetry
f(x) is a function so you do not have x-axis symmetry.
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Cheers,
Stan H.

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