F(x)= -3x^3+5x Is this symmetric with the origin? And how did you find this out? Thanks all.
M marisamonett New member Joined Nov 10, 2010 Messages 1 Nov 10, 2010 #1 F(x)= -3x^3+5x Is this symmetric with the origin? And how did you find this out? Thanks all.
L lookagain Elite Member Joined Aug 22, 2010 Messages 3,251 Nov 10, 2010 #2 marisamonett said: F(x)= -3x^3+5x Is this symmetric with the origin? And how did you find this out? Thanks all. Click to expand... Hints: If you can show that f(-x) = -f(x), then it is symmetric with respect to the origin. Then plug in -x for x and simplify. Also, if it is a polynomial with no terms having an even exponent (including no nonzero constants), then it is symmetric with respect to the origin.
marisamonett said: F(x)= -3x^3+5x Is this symmetric with the origin? And how did you find this out? Thanks all. Click to expand... Hints: If you can show that f(-x) = -f(x), then it is symmetric with respect to the origin. Then plug in -x for x and simplify. Also, if it is a polynomial with no terms having an even exponent (including no nonzero constants), then it is symmetric with respect to the origin.
