This week I learned what function notation was. Function notation is a equation where you can input a number and the output will come out the other side. From the left side of the equal side function notation usually starts with an f which stands for the name of the function (it can start with other letters too) and then it will have an input number in brackets beside it. On the right side of the equal side is the equation and wherever there’s an x is where you plug in the input number which should result in the answer of the question.
This week I learned about functions. I didn’t know about functions before and how we’re able to tell if something is a function or not. A function is a “special relation” It’s when the y value/output only has one x value/input. This means if you graphed the points on a graph, there wouldn’t be a dot over top another. One test to see if a relation is a function on a graph is the vertical line test which means, if you look across the vertical line (x axis) there should NOT be one dot over another.
This week we talked more midterm review. I went over stuff from the beginning of math like number and exponents, and now I understand the concepts way more than before. I’m glad we got class time and review papers because it helps refresh the memory. One thing I had to make sure of was negative exponents which I almost forgot how to do, even though it wasn’t that long ago. I practiced on reciprocating then equation before solving it so it would make the question much easier.
This week I learned more about the vocabulary for linear relations. For example,
Discrete variables= no connecting dots on a x, y axis. Counting numbers (1, 2, 3).
Continuous variables= connect the dots, used to measure. (1.5, 2.5, 3.5)
Domain/input/independent variable= x
Range/output/dependent variable= y
Ordered pairs= x, y
(Not whole music video because I couldn’t find full version on youtube, only audio available there sorry)
This week I learned how to factor binomials and trinomials. If you’re given a polynomial equation that has alreasy been answered fully, then you’ll be able to factor based on the criteria.
If it’s a binomial (2 terms) the sign has to be negative
In a trinomial, focusing on the first term and the last is important, if in correct order= x2 + x + 1
This week I learned about different ways to multiply polynomials using diagrams, like an area diagram. I’m really glad I learned this technique because it’s super helpful and easy to do. This works when you are multiplying all types of polynomials as long as they’re in 2 sets of brackets. First you draw a rectangle and then divide it into how many spaces you need, kind of like a multiplication table. Then you just do the multiplication like you would on a multiplication table, once finished collect all like terms and you’ll have the answer.