Functions:

Vertical line test:

Asymptotes:

Finding vertical asymptotes:

Domain and range of a graph:

Finding domains of functions without graphs:

Introduction to function notation:

Composite functions:

Inverse functions:

Horizontal line test for inverses:

Using the quadratic formula:

Completing the square:

Using the discriminate to find the number of solutions to a quadratic:

More complicated examples of using the discriminate to find solutions to quadratics:

Quadratic word problems example:

Sketching quadratic graphs:

Completing the square to sketch quadratics:

An introduction to transforming graphs (translations):

An introduction to transforming graphs (stretches):

IB SL Functions playlist: