Relations and Functions - XII

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Across
  1. 5. The set of all possible output values produced by a function or relation for a given set of input values.
  2. 6. A set of ordered pairs that relate inputs to outputs.
  3. 7. A mathematical rule that assigns each input value to exactly one output value.
  4. 9. A property of a relation in which if (a,b) is in the relation, then (b,a) is also in the relation.
  5. 10. A property of a relation in which every element is related to itself.
  6. 14. A function that "undoes" the effects of another function, switching the inputs and outputs.
  7. 15. The result or value that a function or relation produces when given an input.
  8. 16. The set of all possible output values for a function or relation.
  9. 17. A property of a function or relation in which each input value corresponds to exactly one output value, and vice versa.
  10. 18. A function or relation that is both one-to-one and onto.
  11. 20. The process of combining two or more functions or relations to form a new function or relation.
Down
  1. 1. A synonym for a function or relation.
  2. 2. A property of a function or relation in which every possible output value is produced by at least one input value.
  3. 3. A property of a relation in which if (a,b) and (b,c) are in the relation, then (a,c) is also in the relation.
  4. 4. The set of all possible input values that produce a given output value for a function or relation.
  5. 8. The set of all possible input values for a function or relation.
  6. 11. A relation that is reflexive, symmetric, and transitive, and thus defines an equivalence class.
  7. 12. A synonym for one-to-one.
  8. 13. A synonym for onto.
  9. 19. A value or variable that is fed into a function or relation.