Math 3 Unit 5 – Irrational Functions

Part 1

I think the most important thing I learned this unit was how to sketch irrational graphs without a graphing calculator or Desmos. This is important because being able to do math without technology is an important skill. On some tests, sometimes calculators are not allowed and being able to still make a rough graph of a complicated irrational equation.

The table in the beginning of Task 4.3 was a very helpful way to help me understand how to find the features of an irrational graph could be found. Given an equation, I could look at the characteristics, compare it to the chart, and get instructions to easily find what features could help me graph it.

Part 2 – Technology Manufacturing Project

After researching the Tech Manufacturing industry, I found it interesting how there were so many companies developing different things, with different strategies. Some always did the same thing over and over again, like Dell which always sells PCs. Others were always trying new things in an attempt to always keep up with the latest developments, like IBM. Others do a mix of both, like my company, Intel, which both continuously does computer chips, improving them by doing the same thing over and over again in new ways, as well as joining the fray in new fields like drones.

About financial investments, I learned that math isn’t always a great way to predict things that have so many factors, including a lot of human influence. Using Desmos to create a graph using a couple of data points isn’t going to produce a result that will mathematically, and more importantly, accurately, predict the success of a company which is run by human CEOs and makes money from the work of human employees selling to human consumers. Math cannot predict the stock market. That’s why humans are the ones who are looking at data as well as numerous other factors in the real world that math cannot take in account for. For them, math is a tool, not the answer.

The hardest part of this project was spending so much time looking and manipulating data. We had to navigate databases and then manually copy numbers to our documents, then hand type them into Desmos, just to get ridiculously inaccurate graphs. I understand why accountants and people in the financial industry get paid so much now.

One part of this project that turned out well was we were able to make a solid conclusion on which company we should invest in. We didn’t have to struggle to decide, but that might be because we only had a few data sources.

Next time, I would allot more time to do the data work. It took an extremely long time, and if I did this again I would plan to spend longer on that part.