Determine whether this function f(n) = n2 − 1 is one-to-one, onto, or both. Explain your answers. The domain of each function is the set of all integers. The codomain of each function is also the set of all integers
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Let us determine whether the function is one-to-one, onto, or both.
Since we conclude that this function is not one-to-one. Taking into account that for the equation that is or has no integer solutions, we conclude that and hence the function is not onto. Therefore, is not a bijection.