Definition Of Linear Function Math

In mathematics a linear function is defined as a function that has either one or two variables without exponents.

Definition of linear function math. In case if the function contains more variables then the variables should be constant or it might be the known variables for the function to remain it in the same linear function condition. Since f 0 a 0 b b the graph always goes through the y axis at the point 0 b which is illustrated by the gray point. A linear function is any function that graphs to a straight line. It is a function that graphs to the straight line.

In mathematics linear refers to an equation or function that is the equation of a straight line and takes the form y mx b where m is equal to the slope and b is equal to the y intercept. In calculus and related areas a linear function is a function whose graph is a straight line that is a polynomial function of degree zero or one. What this means mathematically is that the function has either one or two variables with no exponents or powers. In mathematics the term linear function refers to two distinct but related notions.

In linear algebra mathematical analysis and functional analysis a linear function is a linear map. Three features define a function as linear but if a function satisfies one of the three requirements then it satisfies them all and can be classified as linear. Linear function definition is a mathematical function in which the variables appear only in the first degree are multiplied by constants and are combined only by addition and subtraction. An equation that makes a straight line when it is graphed.

For distinguishing such a linear function from the other concept the term affine function is often used. The affine function f x a x b is illustrated by its graph which is the green line.