1. The problem asks to describe the end behavior of the polynomial function $$f(x) = 5x - 2$$. 2. The end behavior of a polynomial function depends on the leading term. Here, the leading term is $$5x$$, which is a linear term with a positive coefficient. 3. For large positive values of $$x$$, the term $$5x$$ dominates, so $$f(x)$$ will increase without bound. Mathematically, as $$x \to +\infty$$, $$f(x) \to +\infty$$. 4. For large negative values of $$x$$, since the coefficient 5 is positive, multiplying by a large negative number makes $$5x$$ very negative. Thus, as $$x \to -\infty$$, $$f(x) \to -\infty$$. 5. Therefore, the end behavior is: - As $$x \to -\infty$$, $$f(x) \to -\infty$$. - As $$x \to +\infty$$, $$f(x) \to +\infty$$. 6. This matches the option: "As x → -∞, f(x) → -∞. As x → +∞, f(x) → +∞."