How does number 1 differ than a relation? Please explain how, thank you. My teacher wants me to implication the first one however I don’t understand it so please help me. Thank you.
How does number 1 differ than a relation? Please explain how, thank you. My teacher wants me to implication the first one however I don’t understand it so please help me. Thank you.
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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How does number 1 differ than a relation? Please explain how, thank you. My teacher wants me to implication the first one however I don’t understand it so please help me. Thank you.

Transcribed Image Text:**Understanding Functions in Mathematics**
A *function* \( F \) from a set \( A \) to a set \( B \) is a relation with domain \( A \) and co-domain \( B \) that satisfies the following two properties:
1. For every element \( x \) in \( A \), there is an element \( y \) in \( B \) such that \( (x, y) \in F \).
2. For all elements \( x \) in \( A \) and \( y \) and \( z \) in \( B \), if \( (x, y) \in F \) and \( (x, z) \in F \), then \( y = z \).
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