Functional Relationships
Virginia SOL MA.FR.1
Analyze compositions of functions to determine and verify inverses of functions.
What students need to be able to do
- Construct the composition of functions algebraically.
- Construct the composition of functions graphically.
- Determine the domain and range of composite functions algebraically.
- Determine the domain and range of composite functions graphically.
- Develop the inverse of a function algebraically.
- Develop the inverse of a function graphically.
- Compare the domain and range of the inverse of a function with the original function, both algebraically and graphically.
- Use mathematical reasoning to generalize and communicate the criteria for an inverse function to exist.