Although I was sick for half of this week, and wasn’t able to learn fully what the rest of that class did, or at least learned less “hands on”, I was still there for the first two days, and so what we learned then is what I understand most. We learned how mapping notation can be put into the form of function notation.
Mapping notation is where you use a math “sentence” to find an output with the use of an input. (went over semi-briefly on last blog post).
ƒ : x → 3x – 2
↑name ↑input ↑changes into ↑output
Function notation is generally the same thing, but like how functions are relations but relations aren’t always functions, functions notation is the same. Function notation is helpful when finding inputs and outputs of functions. They are written slightly differently as well.
↓name ↓input ↓changes into ↓output
ƒ (x) = 3x – 2
↑ “ƒ of x”
Both are used generally the same way, to find the output using an input. It is “ƒ of x” because the ƒ is the functions name, and the relation is a function.
Functions & Graphs
Using the inputs and outputs from mapping and function notation, you can plot points on a graph. The input is x, and the output is y. To get the output, you put the input in the correct spot on the opposite side.
f(x) = 3x + 1 → f(3) = 3(5) + 1
Using them, you can get coordinates. (x, y)