The correct answer is A. As x approaches positive infinity, the function f(x) = x
3 approaches positive infinity, and as x approaches negative infinity, f(x) approaches negative infinity.
As x approaches positive infinity (x → +∞):
When x becomes larger and larger (approaching positive infinity), the function f(x) = x
3 also becomes larger and larger. As x
3 is a positive number for positive x-values, the values of f(x) increase without bound. Therefore, as x approaches positive infinity, f(x) approaches positive infinity. Mathematically, we can express this as:
lim(x → +∞) f(x) = +∞
As x approaches negative infinity (x → -∞):
When x becomes more and more negative (approaching negative infinity), the function
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