Question

Is the following function symmetric with respect to the y-axis, symmetric with respect to the x-axis, symmetric with respect to the origin, or none of the above?

f(x)=-5x^3+2x

I think it is:
-3+1=2
This function is symmetric to the y-axis.

Answer 1

If it were symmetric with respect to the y axis, then at any x, for example x = 1, y would be the same for + x and for -x
So let's try x = 1
y = -5 + 2 = -3
now for x = -1
y = +5 -2 = +3
Nope, sorry