Pairs of Functions

Related lectures (30)

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

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

Explores automorphism groups in trees and graphs, focusing on ends and types of automorphisms.

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

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

Explores partial derivatives and their role in determining tangents to graphs.

Explores the symmetries and properties of tangent and cotangent functions with different angles.

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

Covers the definitions and properties of arcsin and arccos functions.

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.