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25 July, 00:59

Can you fine the cube root of a negative number? If so, is it positive or negative? Explain your answer.

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  1. 25 July, 03:56
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    - 3 √x) 3 = - (3 √x) 3 = - x

    So - 3 √x is a cube root of - x

    In terms of functions, f (x) = x3 is a continuous, unbounded, strictly monotonically increasing function of x.

    Hence f (x) is one to one from Real numbers onto the Real numbers. Its domain and its range are the whole of the Real line R.
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