Advanced Functions
Composite and inverse functions
lessons (3)
Review of Functions
Master the fundamentals of functions including notation, domain, range, and operations before advancing to pre-calculus.
Composite Functions
Learn how to combine two functions to create a new function using composition.
Inverse Functions
Learn how to find and verify inverse functions, and understand their relationship to the original function.
Functions describe relationships where each input has exactly one output. Understanding function notation, domain, range, and behavior is fundamental to higher mathematics. Functions model real-world relationships.
What Students Will Learn
- Identify functions from graphs, tables, and equations
- Use function notation f(x)
- Determine domain and range
- Evaluate functions at given values
- Graph functions by plotting points
Frequently Asked Questions
What makes something a function?
Each input (x-value) produces exactly one output (y-value). The vertical line test checks this.
What is the difference between domain and range?
Domain is all possible input values (x). Range is all possible output values (y).
What does f(3) mean?
It means evaluate the function f at x = 3.