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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?

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