Introduction
The Piecewise function project was combining all the knowledge I learned about functions. I was given an equation and a rang of X values I could use to make the function. Starting with The first function I looked at the lowest x valued and started from there. When the quantities would not be equal to, I left a open circle on that value. The next function generally picked up next starting at that open circle. As you can see in the Image above there are no points that have the same X value, that is what makes it a function.
Skills
- Use interval notation
- Solve Inequalities involving Absolute Value
- Know and use a definition of a function to decide if a given relation is a function
- Assign independent and dependent variables Be able to find minimum or maximum value in a real world problem
- Know and use a definition of a function to decide if a given relation is a function
- Explain how the rates of change of functions in different families (ex. Linear functions and quadratics) differ, referring to graphical representations
Justification
Overall, The Piecewise function project helped me understand functions better, and the proper notation. From the skills I learned doing it and applying them to single project was really good for my education. I put this in my portfolio because it is the most widely skilled project I have done and it truly shows the skills we cover in the class as a whole. I enjoyed doing this project, the part that I enjoyed was revising others work. I wanted to make sure theirs was right. Never do I usually feel confident revising someone else's project do to lack of knowledge. I felt confident and comfortable answering peoples questions and concerns. Made me learn a little more retelling the process of doing the graph.