Classifying Linear and Nonlinear Functions
1. This assignment relates to the standard (8.F.3) because in this assignment we had to understand the difference between linear and nonlinear functions(even though this assignment didn't ask for that). We had to know that in order for an equation to be linear, it has to be straight and it has to have a constant slope. Also, when you put the points on a graph or if find the slope on a table, you have to know that if the slope is always the same and if the line is constant and straight, which runs through the points, it means that it's linear( if not straight nor constant, it is considered nonlinear). For the other standard (HSF.IF.A.1), it talks about the relation between the domain (x) and the range (y). This relates to the standard because for a function to be a function, one x should have one y. Functions don't have to linear or nonlinear, but there shouldn't be more than one x for a y. The Vertical Line Test determines if the function is classified a function. Relations don't have to pass the Vertical Line Test( in other words, don't have to be functions).
2. Here are the following steps it took me:
a. First, I learned about functions and relations and learned it
b. Next, I received it and did it for homework.
c. I used my knowledge of what I learned in order to do the assignment.
d. Then, I finished it and reviewed it in class.
e. Finally, I corrected the ones that I got wrong.
3. This assignment demonstrates that I understand what functions are. I also know how to know if a function is linear or not. The slope needs to be the same in order to be linear, and this is a strength because I understand it. If the line isn't straight and if it DOESN'T have a constant slope, it's nonlinear. Functions have to have one input linking to one output. These followings that I said are my strengths since I understand them.
4. I could have improved my work on this assignment by being aware of what I was putting in each column(Functions and Relations). I should have been more cautious when doing this, since I understood the concept. I got a couple wrong on this assignment. Another thing that I should have additionally do is double checking. These are ways I could have done in order to have not make careless mistakes.
5. I can apply this to the real world if I want to by a product. I should first know how much one costs. Then, if I want to buy multiples of them, it'll work since it will be constant. You can apply LINEAR functions to this if you take a graph for example. For one of the item, it costs a certain and amount, and 2 is double the money, and so on. This can tell me how much is one and I can buy many to fit my money and what I want.
2. Here are the following steps it took me:
a. First, I learned about functions and relations and learned it
b. Next, I received it and did it for homework.
c. I used my knowledge of what I learned in order to do the assignment.
d. Then, I finished it and reviewed it in class.
e. Finally, I corrected the ones that I got wrong.
3. This assignment demonstrates that I understand what functions are. I also know how to know if a function is linear or not. The slope needs to be the same in order to be linear, and this is a strength because I understand it. If the line isn't straight and if it DOESN'T have a constant slope, it's nonlinear. Functions have to have one input linking to one output. These followings that I said are my strengths since I understand them.
4. I could have improved my work on this assignment by being aware of what I was putting in each column(Functions and Relations). I should have been more cautious when doing this, since I understood the concept. I got a couple wrong on this assignment. Another thing that I should have additionally do is double checking. These are ways I could have done in order to have not make careless mistakes.
5. I can apply this to the real world if I want to by a product. I should first know how much one costs. Then, if I want to buy multiples of them, it'll work since it will be constant. You can apply LINEAR functions to this if you take a graph for example. For one of the item, it costs a certain and amount, and 2 is double the money, and so on. This can tell me how much is one and I can buy many to fit my money and what I want.