SOLUTION: 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)

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.
Answer by Ganesha(13) (Show Source): You can put this solution on YOUR website!
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.
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