ALG2.MATH.2.D
Use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other. Page 6 October 2015 Update.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
compositionfunctionsdomainrestrictionsinverses
Skills
- use (composition of two functions including domain restrictions) #dok2
- determine (if two functions are inverses of each other) #dok3
- apply (restrictions on the domain of functions) #dok2
- analyze (the results of composing two functions) #dok3
Learning Targets
- I can use the composition of two functions to analyze their relationship. #dok2
- I can apply necessary restrictions on the domain when composing functions. #dok2
- I can determine if two functions are inverses of each other by using composition and domain restrictions. #dok3
- I can analyze the results of composing two functions to evaluate if they are inverses. #dok3
Big Ideas
- The composition of two functions can be used as a method to verify if the functions are inverses of each other.
- Domain restrictions are essential when determining whether two functions are truly inverses.
Essential Questions
- How can you use the composition of two functions to determine if they are inverses?
- Why are domain restrictions necessary when working with inverses?
- What is the relationship between a function and its inverse using composition?
- How do you identify and apply domain restrictions when checking for inverses?
- What real-world situations might involve determining if functions are inverses?