ALG2.MATH.2.B
Graph and write the inverse of a function using notation such as f -1 (x).
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
functiongraphinversenotationf -1(x)
Skills
- graph (the inverse of a function) #dok2
- write (the inverse of a function using notation) #dok2
- interpret (notations such as f -1(x)) #dok1
Learning Targets
- I can interpret notation such as f -1(x) to represent the inverse of a function. #dok1
- I can graph the inverse of a function on a coordinate plane. #dok2
- I can write the inverse of a function using appropriate mathematical notation. #dok2
Big Ideas
- A function and its inverse 'undo' each other's operations, and their graphs reflect over the line y = x.
- Understanding inverse functions is key to solving equations and modeling real-life situations involving reversible processes.
Essential Questions
- What is an inverse function and how is it related to the original function?
- How do you use notation such as f -1(x) to represent inverse functions?
- How can you graph an inverse function given the original function's equation or graph?
- Why is it important to be able to write and interpret inverse functions?
- What does the graph of a function’s inverse reveal about the relationship between the two functions?