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

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    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?

    See the attached file.

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    See the attached file.
    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 ...

    Solution Summary

    Functions are investigated with regard to one-to-one, onto and range. The solution is detailed and well presented.