Which statement correctly describes the end behavior of f(x) = -9x^4 + 3x^3 + 3x^2 - 1?

As x goes to infinity, f(x) goes to infinity, and as x goes to negative infinity, f(x) goes to infinity.

As x goes to infinity, f(x) goes to negative infinity, and as x goes to negative infinity, f(x) goes to infinity.

As x goes to infinity, f(x) goes to infinity, and as x goes to negative infinity, f(x) goes to negative infinity.

As x goes to infinity, f(x) goes to negative infinity, and as x goes to negative infinity, f(x) goes to negative infinity.