Reflection

I found this project very engaging and it challenged me in a multitude of ways. I figured out what equations to use by first deciding on which function best fit the line I wanted to trace. Then I used point-slope form to place the line where I wanted and changed the slope to fit the desired shape. This project tested my patience a lot and probably the most challenging part was making the lines connected perfectly, especially when I started out not doing that. This meant I had to go back and add extra connecting lines or change the equation so there wasn’t any overlap. Although it took a long time to fix all my lines, it did feel rewarding in the end to know that all my lines connected. I had help in getting my non-linear functions to connect by using the slope formula and kind of had an aha moment when I realized that it would be extremely useful for this project and not just some formula I had to remember for test questions where I was connecting imaginary dots. What helped me not get too sick of the project was multitasking and focusing on specific areas. I would have the project open and something else to switch back and forth, which helped me not get too burnt out. Having a specific goal each day helped too because it would ensure I would be making progress and give me a lot of satisfaction knowing that something that wasn’t there the previous day was completed. This assignment definitely improved my knowledge of functions, especially each shape the seven of them make and how slope affects them. It also showed how time saving function notation and slope formula can be as well as how useful domain and range restrictions are. I showed a growth throughout my project of my understanding of equations as well as I started left to right and used a lot more equations on the left than the right. It wasn’t because the left was more complicated but because by the time I got to the right person, I had a better grasp of functions and how to properly connect them that I was able to trace them with less lines.