This week we went more in depth with limits by looking at limits involving infinity, end behavior, and continuity. It took me a while to grasp all these concepts because I kept mixing everything up. I'm starting to think that maybe I should've taken that 3rd tri of pre calc! Not even knowing what a limit was walking into the class set me back in my opinion. Everything we did at the beginning was like a review, but it's the first time I'd seen any of it. The more practice and in class discussion we do, the most I'm understanding it though! I've gotten pretty good at doing limits involving infinity and end behavior. I feel like I understand them and the concept. However, I'm still trying to figure out continuity! The inclusion of numbers in the domain is throwing me off.
I especially like doing end behavior functions because they always equal 0. For right end behavior models I plug in a really big, positive number for x and cancel things out until the answer comes out to be 1. I do the same thing for left end behavior models except I use really big, negative numbers.
I think the 3 prong test will come in handy. I've already been using it during continuity and for salt and pepper functions. It's an easy way to see if something is continuous or not. The concept that unless there is a specified interval, it's always continuous confuses me sometimes! I understand it, but have a hard time applying it. That's why I don't understand why infinite is a type of discontinuity (2nd pic, last graph at bottom). Why wouldn't that be continuous? The domain includes all numbers except for 3, but it doesn't necessarily mean 3 is in the domain.
Overall, I think my participation was good this week. I like walking around and listening and learning from my peers on how to do certain problems. It helps me a lot! I really like how the room is set up so you have people sitting by I can ask them a quick question or explain something to me without disturbing the entire class.
I especially like doing end behavior functions because they always equal 0. For right end behavior models I plug in a really big, positive number for x and cancel things out until the answer comes out to be 1. I do the same thing for left end behavior models except I use really big, negative numbers.
I think the 3 prong test will come in handy. I've already been using it during continuity and for salt and pepper functions. It's an easy way to see if something is continuous or not. The concept that unless there is a specified interval, it's always continuous confuses me sometimes! I understand it, but have a hard time applying it. That's why I don't understand why infinite is a type of discontinuity (2nd pic, last graph at bottom). Why wouldn't that be continuous? The domain includes all numbers except for 3, but it doesn't necessarily mean 3 is in the domain.
Overall, I think my participation was good this week. I like walking around and listening and learning from my peers on how to do certain problems. It helps me a lot! I really like how the room is set up so you have people sitting by I can ask them a quick question or explain something to me without disturbing the entire class.