Question 1119949
change the sign of x and look at the polynomial
A: (-x)^3-3x=-x^3-3x, which is -(x^3+3x), so that is f(-x)=-f(x) or odd.
{{{graph(300,300,-10,10,-10,10,x^3+3x,-x^3-3x)}}}
B: This becomes x^4+x^2-x which is neither even nor odd.
{{{graph(300,300,-10,10,-10,10,x^4+x^2+x,x^4+x^2-x)}}}
C:This becomes x^6+x^4+x^2, which is the same, so even.
{{{graph(300,300,-10,10,-10,10,x^6+x^4+x^2)}}}
D:This becomes 1(3x^4)-2/(3x^2), which is also the same, so even.
{{{graph(300,300,-10,10,-10,10,(1/3x^4)-(2/3x^2))}}}