Pre Calc

Without actually graphing it, show that the graph of the equation x^3+y=x is symmetric with respect to the origin.

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1. y=x-x^2= x(1-x^2)=x(1-x)(1+x)

The last two terms are symmetric about origin, the values just reverse terms. The x in front is symettric, as the negative values just reverse about the y axis.

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