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This chapter introduces sets and functions as foundational concepts in mathematics, exploring their definitions, types, and operations. It covers various methods for representing sets, including roster and set-builder forms, and delves into the properties of set operations. Additionally, the chapter defines functions, discusses their classification, and explains concepts like domain, co-domain, range, composition, and inverse functions.
Chapter 114 sections
This chapter introduces sets and functions as foundational concepts in mathematics, exploring their definitions, types, and operations. It covers various methods for representing sets, including roster and set-builder forms, and delves into the properties of set operations. Additionally, the chapter defines functions, discusses their classification, and explains concepts like domain, co-domain, range, composition, and inverse functions.
A set is a well-defined collection of distinct objects.
Functions assign exactly one output in the co-domain to each input from the domain.
Sets can be classified into various types including finite, infinite, and subsets.
A well-defined collection of distinct objects called elements.
A rule that associates each input from the domain with exactly one output in the co-domain.
An operation that combines all elements from two sets, eliminating duplicates.
An operation that retrieves the common elements from two sets.
The set of all possible inputs for a function.
The set of all possible outputs that the function can yield.
The set of actual outputs produced by the function from the given inputs.
A function where each element in the co-domain is mapped by at most one element in the domain.
A function where every element in the co-domain has at least one element in the domain mapping to it.
A function that is both injective and surjective.
Total Questions
2
Estimated Time
4 min
Passing Score
70%
1 more question available