Odd or even function? y = x ^ 2-x ^ 3 explain why

y = x ^ 2 – x ^ 3; the function is even if, for the same modulus but different sign values of the argument (x), the value of the function (y) does not change; it is also a sign of symmetry. Let’s find some values:

When x = 1; y = 1 – 1 = 0;

When x = – 1; y = 1 + 1 = 2;

When x = 2; y = 4 – 8 = – 4;

When x = – 2; y = 4 + 8 = 12.

Based on the found values, we conclude: our function is odd.