Asked by Samantha

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

Answers

Answered by bobpursley
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.
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions