What This Document Is
This document is a performance task for Harvard University’s DPI 201: The Responsibilities of Public Action course. It’s designed to assess a student’s ability to apply nonlinear functions to real-world scenarios involving business and shipping costs. The task is delivered through the Edgenuity platform.
Why This Document Matters
This assignment is for students enrolled in DPI 201. It’s used to evaluate their understanding of how mathematical functions can model and solve practical problems. Successful completion demonstrates an ability to translate real-world situations into mathematical representations and interpret the results.
Common Limitations or Challenges
This document is a task *to be completed*, not a learning resource. It assumes prior knowledge of piecewise and square root functions. It does not provide instruction on these concepts; students are expected to already understand them.
What This Document Provides
The full document includes:
* Two parts: one focused on piecewise functions related to shipping costs, and another using square root functions to determine warehouse space dimensions.
* Specific problems requiring students to graph functions from tables and equations.
* Instructions to show all work, including graphs and equations.
* Real-world context involving a book-selling business and warehouse rental.
* Questions about domain, range, and discrete vs. continuous graphs.
* A function-writing exercise related to shipping fees.
This preview *does not* include solutions, completed graphs, or detailed explanations of the mathematical concepts. It only presents the assignment’s structure and context.