1. The problem asks to describe the end behavior of the function $$f(x) = -3x^5 + 2x^2 - 1x - 2$$. 2. For polynomial end behavior, the term with the highest degree dominates as $$x \to \pm \infty$$. Here, the highest degree term is $$-3x^5$$. 3. Since the degree 5 is odd and the leading coefficient is negative (-3), the end behavior is: - As $$x \to \infty$$, $$f(x) \to -\infty$$. - As $$x \to -\infty$$, $$f(x) \to \infty$$. 4. Next, consider the function $$f(x) = -3x^6 - 2x^8 + 2x - 4$$. 5. The highest degree term is $$-2x^8$$ (degree 8, even), which dominates the end behavior. 6. Since the leading coefficient of the highest degree term is negative (-2) and degree is even, the end behavior is: - As $$x \to \infty$$, $$f(x) \to -\infty$$. - As $$x \to -\infty$$, $$f(x) \to -\infty$$. Final answers: 1) As $$x \to \infty$$, $$f(x) \to -\infty$$. As $$x \to -\infty$$, $$f(x) \to \infty$$. 2) As $$x \to \infty$$, $$f(x) \to -\infty$$. As $$x \to -\infty$$, $$f(x) \to -\infty$$.