https://www.desmos.com/calculator/j5xc7hyewa

This project has been a great help for my understanding of the content studied in Pre-Calc 12. Any difficulties i came across just ended up helping me further extend my knowledge of these different types of functions. I found it difficult to find a starting point, but once I got on a roll it came easier and easier. I started with the Santa hat as I knew that I wanted to have that in my card. Then I worked down from there doing the head, face, neck, hood, torso and arms, hands, legs, and feet. From there I worked on fine tuning some more things on the face and then moved on to the letters. My biggest struggle was with the face, and trying to make it actually look like me. I did my best to try and make the glasses accurate and overall features look like myself. Towards the end of my time working on this project, I had every graph except the rational one, which i still needed to include. This led to me staring at the different looks of the rational graphs until i came to the epiphany that I could turn one into a sled by also integrating a semi-circle function! This really added to my card, and also inspired me to put the snowman on top of it! In the end, this project has been an extremely useful tool to refresh my mind on all of the things we have learned this year, as well as further extend my knowledge from where it was before.