Definition:Linear Real Function

Definition

Let $f$ be a real function.

$f$ is called linear if and only if it has the form:

$\forall x \in \R: \map f x = ax + b$

where $a$ and $b$ are real numbers.

Also see

• Results about linear real functions can be found here.

Sources

• Weisstein, Eric W. "Linear Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LinearFunction.html