In the previous lesson, you learned how to identify a function by analyzing the domain and range and using the vertical line test.
Now we are going to take a look at function notation and how it is used in Algebra.
The typical notation for a function is f(x). This is read as "f of x" This does NOT mean f times x. This is a special notation used only for functions! However, f(x) is not the only variable used in function notation! You may see g(x), or h(x), or even b(a). You can use any letters, but they must be in the same format - a variable followed by another variable in parenthesis.
Ok.. what does this really mean?
Remember when we graphed linear equations? Every equation was written as y = ..... Well, now instead of y = , you are going to see f(x) .....
f(x) is another way of representing the "y" variable in an equation.
Let's take a look at an example.
Notice y is replaced with f(x), g(x), even h(a).This is function notation. They all mean exactly the same thing! You graph all of these exactly as you would y = 2x +3. We are just using a different notation!
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