**Set Function and Arrow Diagram Explanation**Consider two sets:- $ A = \{a, b, c, d\} $- $ X = \{1, 2, 3, 4\} $The function $ f: A \rightarrow X $ is depicted using an arrow diagram, where each element in set $ A $ is mapped to an element in set $ X $.### Arrow Diagram The diagram shows the following mappings:- $ a $ is mapped to $ 2 $- $ b $ is mapped to $ 3 $- $ c $ is mapped to $ 4 $- $ d $ is mapped to $ 1 $### ObjectiveSelect the set of pairs that defines a function equal to $ f $.### Options1. $ f = \{(a, 2), (b, 3), (c, 4), (d, 4)\} $2. $ f = \{(a, 1), (b, 3), (c, 4), (d, 4)\} $3. $ f = \{(a, 2), (b, 3), (c, 4), (d, 1)\} $4. $ f = \{(a, 2), (b, 3), (d, 2)\} $### Correct AnswerThe correct set of pairs defining the function $ f $ is:$ f = \{(a, 2), (b, 3), (c, 4), (d, 1)\} $ This set corresponds to option 3.

We have to select the pairs that defines a function.

Answered: A {a, b, c, d} X [1, 2, 3, 4} The…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A {a, b, c, d} X [1, 2, 3, 4} The function f:A→X is defined by the arrow diagram below. Select the set of pairs that defines a function that is equal to f. f Of [(a, 2), (b, 3), (c, 4), (d, 4)} Of {{a, 1), (b, 3), (c, 4), (d, 4)} Of {(a, 2), (b, 3), (c, 4), (d, 2)} Of [(a, 2), (b, 3), (d, 2)}