Algebra-1

Let's analyze the end behavior of the function k(x) = -x⁶.

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 6, the resulting values also become larger. However, since the function is multiplied by -1, the values of k(x) become increasingly negative. In other words, as x becomes larger and larger, k(x) approaches negative infinity. Mathematically, we can express this as k(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 value...