Unpacked Content
Knowledge
Students know:
- In graphing functions the ordered pairs are (x,f(x)) and the graph is y = f(x).
- Techniques for graphing functions.
- Techniques to find key features of functions when presented in different ways.
- Techniques to convert a function to a different form (algebraically, graphically, numerically in tables, or by verbal descriptions).
- The vertical line test can be used to determine if a graph is a function.
- A function is a special kind of relation.
Skills
Students are able to:
- Accurately determine which key features are most appropriate for comparing functions.
- Manipulate functions algebraically to reveal key functions.
- Convert a function to a different form (algebraically, graphically, numerically in tables, or by verbal descriptions) for the purpose of comparing it to another function.
Understanding
Students understand that:
- Functions can be written in different but equivalent ways (algebraically, graphically, numerically in tables, or by verbal descriptions).
- Different representations of functions may aid in comparing key features of the functions.
Vocabulary
- Function
- Relation
- vertical line test
