This section introduces the fundamental concept of functions and the four ways to represent them: verbally, numerically, visually, and algebraically.
| Skill | Description | Difficulty |
|---|---|---|
| Function Definition | Understanding what a function is | Beginner |
| Function Representations | Four ways to represent functions | Beginner |
| Evaluating Functions | Computing $f(a)$ for given inputs | Beginner |
| Domain and Range | Finding valid inputs and outputs | Beginner |
| Piecewise Functions | Functions defined by multiple rules | Intermediate |
| Even and Odd Functions | Symmetry properties | Intermediate |
| Increasing and Decreasing | Where functions go up or down | Intermediate |
| Function Symmetry | Visual and algebraic symmetry tests | Intermediate |
| Difference Quotient | Foundation for derivatives | Intermediate |
graph TD
A["Function Definition"] --> B["Function Representations"]
A --> C["Evaluating Functions"]
B --> D["Domain and Range"]
C --> D
D --> E["Piecewise Functions"]
D --> F["Even/Odd Functions"]
F --> G["Increasing/Decreasing"]
C --> H["Difference Quotient"]
click A "function-definition.html"
click B "function-representations.html"
click C "evaluating-functions.html"
click D "domain-and-range.html"
click E "piecewise-functions.html"
click F "even-odd-functions.html"
click G "increasing-decreasing.html"
click H "difference-quotient.html"