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The given relation is many-to-one and hence not one-to-one. The domain of this function is (-∞, ∞), and its range is (2, ∞). Which of the following equations represents this relation?

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

Correct answer: y = |x| + 2

Solution

The equation y = |x| + 2 has a domain of all real numbers and a range starting from 2 to infinity. This matches the given description of the relation.

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