linear function

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linear function

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linear function (plural linear functions)

1. (mathematics) Any function whose graph is a straight line: ${\displaystyle f(x)=ax+b}$
2. (mathematics) Any function whose value on the sum of two elements is the sum of the values of the function on the two elements and whose value on the product of a scalar times an element is the scalar times the value of the function on the element: ${\displaystyle f(ax+by)=af(x)+bf(y)}$

${\displaystyle f(x)=ax+b}$

Armenian: գծային ֆունկցիա (gcayin funkcʻia) Finnish: lineaarinen funktio German: lineare Funktion f Polish: funkcja liniowa f Portuguese: função afim f

${\displaystyle f(ax+by)=af(x)+bf(y)}$

Armenian: գծային ֆունկցիա (gcayin funkcʻia) Finnish: lineaarinen funktio German: lineare Abbildung f Polish: funkcja liniowa f