This week, we focused mainly on function notation. The two main ways to express a function include mapping notation and function notation. Each way has a specific structure to it, which lets us express it in a way that is easy to understand.
Mapping Notation:
Mapping notation is one of the two ways to show a function. The way it is structured makes it easy to find the (x) and (y) value, and list them as ordered pairs. Here, we will start with the following expression and label the parts of it.
Beneath it, let’s place some numbers as the input and follow the rule. Once we fill in the variable and get the answer, we can use the input number and output answer and place into ordered pairs.
Function Notation:
Function notation is the other way on how to show a function. It is structured in a somewhat similar way, and basically communicates the same thing. Like we did before, let’s label the parts of the expression and then we can see the difference.
Like we did before, again, let’s place some numbers into the input, and use the same rule to solve it and put it into function notation form. Using this way, we can solve problems backwards and it is easier. In some examples, we have the output but not the input number
Equation:
This way is structured quite different, and I personally would rather use the above methods since they are more useful and efficent in my opinion. Here, we write the above ways in the way of only an equation, and reverse the way it is written. You can also write it to make it in proper order.
