Unpacked Content
Knowledge
Students know:
- Graphing techniques of functions,
- Methods of using technology to graph functions.
- Techniques to identify even and odd functions both algebraically and from a graph.
Skills
Students are able to:
- Accurately graph functions.
- Check conjectures about how a parameter change in a function changes the graph and critique the reasoning of others about such shifts.
- Identify shifts, stretches, or reflections between graphs.
- Determine when a function is even or odd.
Understanding
Students understand that:
- Graphs of functions may be shifted, stretched, or reflected by adding or multiplying the input or output of a function by a constant value.
- Even and odd functions may be identified from a graph or algebraic form of a function.
Vocabulary
- Even and odd functions
- Composite functions
- Horizontal and vertical shifts
- Horizontal and vertical stretch
- Reflections
- Translations
