10 Questions
What are the three properties that an equivalence relation must satisfy?
Reflexive, symmetric, and transitive
Which of the following is an example of an equivalence relation?
Equality of numbers
What does an equivalence relation provide for the underlying set?
A partition into disjoint equivalence classes
Which notation is commonly used to denote equivalence of elements a and b with respect to an equivalence relation R?
a ∼ b
What is the equipollence relation between line segments in geometry an example of?
An equivalence relation
What is the domain of a function?
The set of all possible input values for the function
How is a function most often denoted?
By letters such as f, g, and h
What does the notation f(x) represent?
The value of function f at the element x of its domain
When was the concept of a function formalized in terms of set theory?
End of the 19th century
What was historically the idealization of how a varying quantity depends on another quantity?
Functions
Test your understanding of equivalence relations in mathematics with this quiz. Explore reflexive, symmetric, and transitive properties while tackling examples from geometry and algebra.
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