Applications between Sets: Functions and Graphs

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Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Explains injective, surjective, and bijective functions using examples and graphs.

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Explores the relationships between functions and sets, focusing on composite functions properties.

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.

Covers the analysis of functions, composition, and mathematical induction.

Explores continuity, fixed points, and bijective functions in graphs.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explains injectivity and surjectivity criteria in functions using graphical representations.