Algebra-1

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

Let's examine the end behavior of the function f(x) = x².

As x approaches positive infinity (x → +∞), the values of x become larger and larger. When we square these large positive values, the resulting values become even larger. In other words, as x becomes larger and larger, f(x) also becomes larger without bound. 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 square these large negative values, the resulting values become positive. Again, as x becomes more and more negative, f(x) grows without bound. Therefore, f(x) approaches positive infinity as x approaches negative infinity. Mathematically, we can write this as f(x) → ∞ as x → -∞...