1. Determine whether or not the following relations are functions. If the given relation is a function, identify the domain and range of the function, and determine further whether or not the function is one-to-one. If the function is one-to-one, find its inverse, and use your answer to verify Theorem 2 (Inverse Functions). Show complete solutions. If the given relation is not a function or if the function is not one-to-one, show a contradiction. 13. y = |x| 14. I 15. y = : 1, where x > 0 = [ { x + ² if x ≥ 3 |-(4x+8)² ifx < − 3

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