1. The statement says: "As $x$ goes to negative infinity, $f(x)$ goes to negative infinity." 2. This describes the behavior of the function $f(x)$ as $x$ becomes very large in the negative direction. 3. Without a specific function provided, we cannot definitively say "true" or "false." 4. If the function is, for example, $f(x) = x$, then as $x \to -\infty,$ $f(x) \to -\infty,$ so the statement is true. 5. If the function is $f(x) = -x,$ as $x \to -\infty,$ $f(x) \to \infty,$ making the statement false. 6. Therefore, this statement depends on the function $f(x)$, so it cannot be universally true or false without more information.