What is the end behavior of the polynomial function $f(x) = 4x + 7x^5 - 2x^2$?

As $x \to -\infty$, $f(x) \to -\infty$ and as $x \to +\infty$, $f(x) \to +\infty$.

As $x \to -\infty$, $f(x) \to +\infty$ and as $x \to +\infty$, $f(x) \to -\infty$.

As $x \to \pm\infty$, $f(x) \to +\infty$.

As $x \to \pm\infty$, $f(x) \to -\infty$.

Which statement describes the end behavior of the function $g(x) = -3x^4 + 5x^3 - x + 9$?

The graph rises to the left and falls to the right.

The graph falls to the left and rises to the right.

The graph rises on both the left and right.

The graph falls on both the left and right.