Functions

The constant k in direct and inverse variation equations.

• constant of variation

• input

• unit rate

• step function

A function whose graph is an unbroken line or curve with no gaps or breaks.

• discrete function

• continuous function

• function notation

• independent variable

The output of a function; a variable whose value depends on the value of the input, or independent variable.

• continuous function

• discrete function

• independent variable

• dependent variable

A linear relationship between two variables, x and y, that can be written in the form y=kx, where k is a nonzero constant.

• direct variation

• indirect variation

• independent system

• dependent system

A function whose graph is made up of unconnected points.

• dependent system

• independent system

• continuous function

• discrete function

The set of all first coordinates (or x-values) of a relation or function.

• domain

• range

• rise

• run

A mathematical statement that two expressions are equivalent.

• inequality

• expression

• equation

• intercept

A function of the form f(x)=ab^x , where a and b are real numbers with a≠0, b > 0, and b≠ 1.

• linear function

• exponential function

• quadratic function

• piece-wise function

A set of functions whose graphs have basic characteristics in common. Functions in the same family are transformations of their parent function.

• family of functions

• Inconsistent system

• radical function

• parabola

A relation in which every domain value is paired with exactly one range value.

• function

• vertical line test

• unit rate

• slope formula