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The provided relation is many-to-one and thus not injective, with the domain R {0} and the range R (-2, 2). What is the equation of the relation?

1. Because y = x + 1/x
2. Because y = |x| + 2
3. Because y = |x| + 1
4. Because y = 2x - 4 + 2/(x - 2)

Correct answer: Because y = x + 1/x

Solution

The relation y = x + 1/x is many-to-one because multiple x-values can produce the same y-value. Its domain excludes x = 0, and its range excludes (-2, 2).

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