# What is function notation?

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Function notation refers to a mathematical expression involving functions of numbers or variables. In mathematics, functions represent the relation of inputs and their corresponding outputs. The output of an equation for example requires a certain mathematical formula and this can be achieved by using function notation. In expressing function notation, the symbols f(x) is used in a given equation. The “f” literally refers to function with “x” being the subject variable.

In math problems, the value of “x” in a given equation is often the question asked or the value to be solved. Using basic algebraic formulas, one may use function notation in expressing some details regarding the value of “x” for example. The expression function of x is equal to x = 3 can be written using the standard symbol of function notation as in f(x) = x + 3. In this particular example, the function of x may also be used instead of using the variable “y” as in y = x + 3. Math equations are basically based on the x and y coordinates. The x-axis represents the horizontal axis while the y-axis represents the vertical component. When trying to measure certain variables within this coordinates, function notations may be used using the f(x) or this can be represented with y as the variable.

In many occasions, mathematical formulas will yield the same results using y as the variable or using function notation in the form of f(x). More complicated math problems are best expressed using function notations. Many people also prefer using function notations when making formulas or equations for easier understanding and to avoid confusion. Using y as the variable may sometimes be too confusing while using f(x) can be a bit easier because the values for x can be plugged in before mixing them up with the other variables and numbers.