Information AboutLinear Function |
| CATEGORIES ABOUT LINEAR FUNCTION | |
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USAGE IN ELEMENTARY MATHEMATICS In elementary Algebra and Analytic Geometry , the term ''linear function'' is often used to mean a first degree Polynomial Function of one Variable . These functions are called "linear" because they are precisely the functions whose Graph in the Cartesian Coordinate Plane is a straight line. Such a function can be written as : , where and are Real Constant s and is a real variable. The constant is often called the Slope while is the Y-intercept , which gives the point of intersection between the graph of the function and the -axis. Changing makes the line steeper or shallower, while changing moves the line up or down. Examples of functions whose graph is a line include the following: The graphs of these are shown in the image at right. USAGE IN ADVANCED MATHEMATICS In advanced mathematics, a ''linear function'' often means a Function that is a Linear Map , that is, a map between two Vector Space s that preserves vector addition and Scalar Multiplication . A function is a linear map if and only if . For other values of this falls in the more general class of Affine Map s. EXTERNAL LINKS
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