Decision 6: Acquisition Lesson:
Title:
How is it determined if the inverse of a function is a function?
Acquisition Lesson(s):
1. How are the domain and range of functions determined?2. How are intervals where functions are increasing or decreasing determined?3. How can graphs of common functions be recognized?4. How are operations of addition, subtraction, multiplication, and division performed with functions?5. How is the inverse of a function determined?6. How are relations between two variables determined to be functions?7. How is function notation used to evaluate functions?8. How are relative maximum and relative minimum values of functions determined?9. How are even and odd functions identified?10. How are vertical shifts, horizontal shifts, and reflections used to help sketch graphs of functions?11. How are nonrigid transformations used to sketch graphs of functions?12. How is the compositions of one function with another determined?13. How is it determined if the inverse of a function is a function?Extended Thinking Lesson(s):
1. How are vertical shifts, horizontal shifts, and reflections used to help sketch graphs of functions?2. How are compositions of functions used to model and solve real-life problems?