Find each of the function below, indicate whether the function in onto, on-to-one neither or both. If the function is not onto or nor one-to-one, give an example showing why G;R R. g(x)=x^3
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Consider the function Let Then and hence We conclude that this function is one-to-one. For any the equation has a unique solution and hence for any there exists such that It follows that the function is onto. Therefore, this function is a bijection.