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Discrete Structures : One-to-one, Onto and Range

Let f(x) = x^2 + x - 12. Consider f as a function from the reals to the reals. Is f one-to-one? Is f onto? What is the range of f?


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f(x) = x^2 + x - 12
Because, x^2 gives the same value for a +ve as well as for a -ve x, therefore, the function is NOT one-to-one. --Answer

Because, in the next step we will show that the range of the function ...

Solution Summary

Functions are investigated with regard to One-to-one, Onto and Range. The solution is detailed and well presented.