Affine Function

Affine Function

Function defined by a relationship of the form f(x) = ax + b, where a and b are real numbers.

The Cartesian graph of an affine function is the translation of a line that represents a direct variation function.


The function f : \(\mathbb{R}\) → \(\mathbb{R}\) : x ↦ 2x + 1 is an affine function.

Affine Function

The function f : \(\mathbb{R}\) → \(\mathbb{R}\) : x ↦ 3x also is an affine function, although it is generally called a linear function or a direct variation function. In this case, parameter b has a value of zero.

Fonction affine

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