Answer
As $x \to \infty, y \to -\infty$
As $x \to -\infty, y \to \infty$, or (C)
Work Step by Step
The end behavior of a polynomial function is dictated by the highest order term, in this case, the $-2x^5$.
As $x \to \infty$, we consider the sign, which is negative, and the fact that a positive number taken to the 5th power will be positive. We multiply, then, a negative number by positive infinity. Therefore $y \to -\infty$.
As x→-∞, we consider the sign, which is negative, and the fact that a negative number taken to the 5th (odd) power will be negative. We multiply, then, a negative number by negative infinity. Therefore y→∞.
