Algebra-1

Let's examine the end behavior of the function f(x) = 6x¹¹.

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 11, and 6 is the positive number, the resulting values become even larger. In other words, as x becomes larger and larger, f(x) grows without bound in the positive direction. 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 11, and 6 is the positive number, the resulting values become negative. Therefore, as x becomes more and more nega...