Let&nbsp;\(A\) and \(B\) be subsets of the real line. A function \(L\) which is such that each \(x \in A\) is assigned to the real number \(ax+b \in B\), where&nbsp;\(a,b\) are constants is called a linear function.
In particular, when&nbsp;\(a = 0\), then this becomes the constant function that sends every element \(x \in A\) to the constant \(b \in B\) . Thus, every constant function is a special instance of a linear function.

Let \(A\) and \(B\) be subsets of the real line.  A function \(L\) which is such that each \(x \in A\) is assigned to the real number \(ax+b \in B\), where \(a,b\) are constants is called a **linear function**.

In particular, when \(a = 0\), then this becomes the constant function that sends every element \(x \in A\) to the constant \(b \in B\) .  Thus, every constant function is a special instance of a linear function.

Functions

International Baccalaureate Higher Level Mathematics

Linear functions

Linear functions