Linear zigzag function
- Author:
- Juan Carlos Ponce Campuzano
- Topic:
- Calculus
Graph of a piecewise linear zigzag function. For , we define the function as follows:
1. For .
a. , if .
b. , if .
2. For .
a. , if .
b. , if .
3. Finally for , .
1. Prove that the function has a local minimum at 0.
2. What can you say about the notion of local maximum?
3. Is the function increasing or decreasing?