Description Example
Some functional relationships can be expressed with an equation. y = 3x + 4
Function notation puts the input or independent variable of a function in parentheses and names the function with a letter, in this case, f.
f(x)
The function notation is equal to the dependent variable or output.

This notation is read as "y equals f of x," and it means "y is a function of x," or "y is dependent on x."

It is important to note, the parentheses in function notation do not represent multiplication.
y = f(x)
The original equation can be written with function notation.

This is read as "the function of x equals three x plus four," where x is the independent variable of a function named f.

Function notation can only be used with functional relationships.
f(x) = 3x + 4

 

The equation y = 5x − 7 is a function. How would it be written in function notation?

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f(x) = 5x – 7 Close Pop Up

Given y = 1 2 x + 3 and y = g(x), express this function, g, in function notation.

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g(x) = 1 2 x + 3Close Pop Up