Question 214835
You are correct. When working with polynomials, the graph will be y-axis symmetric if EVERY exponent is an even exponent. Since there are no even exponents, it's not y-axis symmetric. On the other hand, the graph will be origin symmetric only if EVERY exponent is an odd exponent. Since {{{3=3x^0}}} has an even exponent (not odd), this rules out symmetry with respect to the origin as well. If the function was {{{f(x)=x^1171 - 5x^109}}}, then you'd find that the graph was symmetric to the origin (go ahead and test it if you want).