Example of a function showing domain and range with labeled elements and a definition.

A diagram illustrating a function in mathematics, showing daughters (domain) mapping to mothers (range) with arrows, where each domain element points to only one range element, demonstrating a function.

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Show Answer Key & Explanations Step-by-step solution for: Math Functions and Relations, what makes them different and how to ...

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- The relation shown is a function because each element in the domain (Daughters) is paired with exactly one element in the range (Mothers).
- No daughter is mapped to more than one mother, satisfying the definition of a function.
- The domain elements (Amy, Anna, Joseline, Daphne, Jenny) are all unique and do not repeat.
- The set of ordered pairs {(Amy, Mrs. Smith), (Anna, Mrs. Smith), (Joseline, Mrs. Sanchez), (Daphne, Mrs. Sanchez), (Jenny, Mrs. Perry)} confirms that every input has exactly one output.
- Even though some mothers (like Mrs. Smith and Mrs. Sanchez) are associated with multiple daughters, this does not violate the function rule, as the rule only restricts domain elements from mapping to multiple range elements.

Parent Tip: Review the logic above to help your child master the concept of relations domain and range worksheet.

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