This week in math 10 we learned about how to evaluate a notation function. First things first, we need to know the different parts of the function. You can see in the photo below that every part has a label and as this chapter is mostly vocabulary based, it’s important you know what someone could be referencing.
There are a couple different ways that you can show your function, the first one im showing you is called ‘Mapping Notation’. The first thing you need to do is determine the ‘parent function’ aka the simplest form of that type of function, meaning they are as close as they can get to the origin
Next, you ask yourself, what changes in the equation? Or, what type of transformations are taking place in the equation. Let’s take a look at the example down below.
^and as you have the function you can write it in a product of ordered pairs to graph, ex. 2 ~~> (2, 10)
The next type of function notation we learned is simply called ‘Function Notation’.
Function notation is the way a function is written. It is meant to be a precise way of giving information about the function without a rather lengthy written explanation. o evaluate a function, substitute the input (the given number or expression) for the function’s variable. Replace the x with the number/expression. (Function notation is expressed very similarly to mapping notation.)
The last way we are showing is called ‘Equation’. the main part of Equation is that they aren’t names/ labeled so the only was to clearly showcase it is by writing it down visually. also keep in mind that saying ‘Find f (2) when f (x) = 3x, is the same as saying, “Find y when x = 2, for y = 3x.”