Functions: Different values of y for same value of x

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SUMMARY

In mathematical terms, a function is defined as a relation that assigns exactly one value of y for each value of x. The discussion confirms that while multivalued functions can exist, they do not meet the strict definition of a function. Therefore, it is impossible to create a function that has two values of y for a single value of x, as this violates the fundamental rule of functions.

PREREQUISITES
  • Understanding of mathematical functions and their definitions
  • Familiarity with the concept of relations in mathematics
  • Basic knowledge of multivalued functions
  • Comprehension of the implications of function rules
NEXT STEPS
  • Research the properties of mathematical functions and their definitions
  • Explore the concept of relations and how they differ from functions
  • Study examples of multivalued functions and their applications
  • Learn about function notation and its significance in mathematics
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Mathematics students, educators, and anyone interested in understanding the foundational principles of functions and relations in mathematics.

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Is it possible to create a function that has two values of y for every one value of x, or is this an unbreakable rule of functions?
 
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ScienceNerd36 said:
Is it possible to create a function that has two values of y for every one value of x, or is this an unbreakable rule of functions?

Multivalued functions exist, but they're not functions.
 
Thanks :)
 

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