A linear function is a straight line drawn over a surface. It can be divided into various types and models. Below we will consider the formulas for its preparation, as well as the achievement of its perfection in the plane. In the drawings, you can fully verify this and understand how it should look.
Linear function y = kx + b
This value is an accurate indicator of the variable in one form. An increment refers to the main property of a linear function; it becomes proportional to the incremented argument. In other words, a function is a generalization of direct proportionality. Direct is a graph of a linear function. From this comes its name. One real variable relates to another real function.
The properties
A linear function is a generatrix of a straight line with a positive direction of the abscissa axis. One of its determining angular coefficients is k; it determines the tangent of the angle a. The line formed in the positive direction of the abscissa axis is k. Another coordinate b indicates the coordinates of the points, as well as the intersection of the line with the axis.
What are nonlinear functions?
Functions that are not linear are called non-linear. This is the mathematical relationship between variables. Nonlinear cannot be expressed as y = ax + b. This term is used in those moments when it is necessary to study the general case. This process begins with the lower degrees. In this case, quadratic corrections are considered. Such a function has continuous curvature.
The considered nonlinear equation is arbitrary. An example of a nonlinear function is y = x 2 . Often the terms "linear function" are used with clarification and the addition of "homogeneous". It can be applied to an exact linear mapping of X, which is a vector space. A linear function - this is the whole system like her.