I mostly used log functions when creating the face on my holiday card. In the beginning, I asked a few friends who also turned out to be stuck, and then I went back and looked at our notes and got a clearer vision of how and where to use them. I got stuck on several occasions, especially when it came to implementing log and exponential functions. The domain and range restriction manipulation was an important factor in making sure the dimensions of the portrait and decorations do not exceed their space and intervene with other parts of the graph. What I found great about Desmos is that it pinpoints the exact point on the graph so it makes it easier for myself to set the domain and range restrictions.

The rational equations helped me produce the decoration on the Christmas tree. Radical equations came in handy when I was sketching my eyebrows, I found out that their perfect curve made a good fit to add for the eyebrows. The most challenging equation to implement in my opinion was exponential, I was somewhat stuck on how to use it but ended up adding it in a form of decoration to my Christmas tree. I found the sine equations easier to manipulate than the rest. I used it to make my hairline, the letter M, R, my nose, and lips. Once I got an idea of how I wanted it to look like, I began experimenting with what kinds of equations would be easy to manipulate and which equations would be more difficult to apply.

I started off with a pencil and a paper, trying to sketch what I wanted to replicate on Desmos later on. Since I am not very familiar with using Desmos besides graphing equations it took a little bit of time to get accustomed to using the website itself.

I managed to underestimate how long this task this would take, not because of how difficult it was, but the fact that it was so time-consuming.

Desmos art graphing