Which of the following are graphs of functions and have inverses that arc functi

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Explanation / Answer

For an inverse function to exist, f(x) must be a bijection f: D1 -> D2. In other words; for any x in D1, there must exist, but only one, y in D2. As you can verify by yourself (rotate the axis by 90 degrees), for (a) it is not possible to have only 1 y in D2, for (b) the same (infinite elements), for (c) - how surprising the same and for (d); yes indeed, all elements in the co-domain are unique and exist corresponding to an element in D1, so that's the one we want to choose. Hope this helps, good luck.

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