Function Definitions

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Function definitions.

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Function. A relationship between two sets of values, one the inputs and the other the outputs, such that for every input there is a unique output.

Domain of a function. For a given function f(x), the allowed values of x. Some functions place restriction on x.

Range of a Function. For a given function f(x), the allowed values of f(x). Some functions place restriction on f(x).

Dependent Variable. An unknown quantity whose values are dependent on the values from the another variable.

Independent Variable. An unknown quantity whose values are not affected by other variables. The opposite of a dependent variable.

Vertical Line Test. The graph of a function intersects a given vertical line only once at any point on the graph.