Consider a linear function y = 3x + 7. To write such function in function notation, we simply replace the variable y with the phrase f(x) to get; f(x) = 3x + 7. This function f(x) = 3x + 7 is read as the value of f at x or as f of x.

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.

Function notation is a way to write functions that is easy to read and understand. Functions have dependent and independent variables, and when we use function notation the independent variable is commonly x, and the dependent variable is F(x). X is the independent variable.

Function Notation. An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.

General Formula of Scientific Notation. The general from of a number in scientific notation is: a ×10n where 1 ≤ a ≤ 10 and n is an integer. In other words the number that we’ll call “a” is is multiplied by 10, raised to some exponent n. This number “a” must be no smaller than 1 and no larger than 10.

The function notation is f ( x) = ax + b. If a = 3 and b = 5, the formula becomes f ( x) = 3_x_ + 5. Function notation permits the evaluation of f ( x) for all values of x. For example, if x = 2, f (2) is 11. Function notation makes it easier to see how a function behaves as x changes.

Evaluating functions using function notation. When it comes to evaluating functions, you are most often given a rule for the output. To evaluate the function means to use this rule to find the output for a given input. You can do this algebraically by substituting in the value of the input (usually x).