Objectives
The Famous Function
The Famous Function
- Introduce 1/x as a famous function, examine its properties
- Composing 1/x with other functions (introduce secant, cosecant, and cotangent)
- What is a rational function?
- How can one find the domain of a rational function?
- How can one identify if a function is a rational function?
- Introduce long division of polynomials
- Understand quotient and remainder in this setting
- Investigate the relationsships between the degree of the numerator and denominator of a rational function and the resulting degrees after long division