Unpacked Content
Knowledge
Students know:
- Characteristics of an always increasing or always decreasing function.
- When a function has an inverse that is also a function.
Skills
Students are able to:
- Identify intervals where the function is increasing or decreasing.
- Identify the domain of a function that will produce an inverse.
- Produce different models of functions and their resulting inverse.
Understanding
Students understand that:
- Due to the periodic nature of trig functions, domains have to be restricted in order to produce a one-to-one relationship.
- While there are many different intervals that are always increasing or always decreasing, there are conventional choices for the restricted domain of the trig functions.
Vocabulary
- Restricting the domain
- Inverse functions
