The functions f (x) = x^1/3 and g (x) = x³ always increase and approach infinity as x approaches infinity.

To understand this, think about what happens when you cube a really large number. You get an even larger number number. Even if you take the cube root of an extremely large number, you get a large number. Now imagine an even larger number. Clearly, there is no limit to this sort of thinking, as both functions will increase without bound.

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