Algebra-1

The correct answer is C. As x→+∞, f(x)→-∞; As x→-∞, f(x)→∞.

Let's analyze the end behavior of the function f(x) = -x⁵.

As x approaches positive infinity (x → +∞), the values of x become larger and larger. When we raise these large positive values to the power of 5, the resulting values also become larger. However, since the function is multiplied by -1, the values of f(x) become increasingly negative. In other words, as x becomes larger and larger, f(x) approaches negative infinity. Mathematically, we can express this as f(x) → -∞ as x → +∞.

Similarly, as x approaches negative infinity (x → -∞), the values of x become more and more negative. When we raise these large negative values to the power of 5, t...