Continuity and Fixed Points: Understanding Functions

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

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

Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.

Covers level curves and graphs of functions in two and three dimensions.

Covers the properties and operations of convex functions.

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

Covers functions of real numbers, graphing, and affine functions.

Explains injectivity and surjectivity criteria in functions using graphical representations.

Covers inverse functions, function composition, partial functions, and graphs of functions.

Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.