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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)}

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)}

Advanced Engineering Mathematics
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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**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 \( 1 \) ### Objective Select the set of pairs that defines a function equal to \( f \). ### Options 1. \( f = \{(a, 2), (b, 3), (c, 4), (d, 4)\} \) 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 Answer The correct set of pairs defining the function \( f \) is: \( f = \{(a, 2), (b, 3), (c, 4), (d, 1)\} \) This set corresponds to option 3.
Transcribed Image Text:**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 \( 1 \) ### Objective Select the set of pairs that defines a function equal to \( f \). ### Options 1. \( f = \{(a, 2), (b, 3), (c, 4), (d, 4)\} \) 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 Answer The correct set of pairs defining the function \( f \) is: \( f = \{(a, 2), (b, 3), (c, 4), (d, 1)\} \) This set corresponds to option 3.
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