Question 133888
Determine whether the function is symmetric with respect to the y-axis,symmetric with respect to the origin ,or none of these.

f(x)=-5x^3+2x, Given.
f(-x) = -5(-x)^3 + 2(-x)
=5x^3 - 2x  which is not equal to f(x). A function y =f(x) is symmetrical about Y axis iff f(x) = f(-x).
Hence f(x) is not a symmetrical function.