Question

discuss the symmetry of the graph of the function f(x)=x^3-x

Answer 1

If you get the same graph when replacing x with (-x), it is symmetric about the y axis.
If you get opposite the graph, it is symmetric about the origin

Answer 2

And if you do that you'll get f(-x) = -x^3 + x, which means symmetric about the origin

Answer 3

Plus you can also graph it and you will see that this is true.

Answer 4

thanx but i dnt know how to use a graphing calculator

Answer 5

I'm sorry to hear that

Answer 6

http://gcalc.net/