In this lesson you'll learn how to combine functions using addition, subtraction, multiplication and division. Also, you'’l learn what composite functions are and how to evaluate them.
Essential questions
- What are composite functions? Give one real world example
- What are inverse functions? How do they work?
- How can one find the inverse of a function?
- Do the graphs of a function and its inverse present any sort of symmetry?
- What is a one-to-one function? How are they related to inverse functions?
- What are self inverse functions? Give one example
- How can one prove that one function is the inverse of another?
Lesson objectives
- Combining functions with addition, subtraction, multiplication and division
- Finding composite functions
- Finding specific values for the relationship of composite functions using graphs and a table of values
Resources (10th grade)
- Exercise lists
- * Minimum
- N31.pdf
- Composite functions - Kuta.pdf
- Operations with functions - Kuta.pdf
- Stewart's Precalculus 2.7
- *Extra
- 15E from HL
- Videos