Question

The function g(x) = x3 has the point (-3, -27) on its graph. The function g(x) is even or odd

Answer 1

The function g(x) is odd.

Explanation:

Even and odd functions:

If for every value of x, f(x) = f(-x), the function is even.

If for every value of x, f(x) = -f(x), the function is odd.

If those statements are false, the function is neither even nor odd.

In this question:

`g(x) = x^(3)`

`g(-x) = (-x)^(3) = -x^(3) = -g(x)`

Since g(x) = -g(-x), the function g(x) is odd.