Algebra-1

Let's analyze the end behavior of the function f(x) = -12x².

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 2, the resulting values also become larger. However, since the function is multiplied by -12, 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 r...