Let&nbsp;\(A\) and \(B\) be sets, and \(b_0\) be a given element in \(B\).
Define the function \(k:A \longrightarrow B\) by \[
k(a) = b_0
\] for all \(a \in A\).
Then it means that no matter which input element \(a\) you have selected from the domain \(A\), the image of \(a\) under \(k\) is constantly the element \(b_0\). We call such functions constant functions.

Let \(A\) and \(B\) be sets, and \(b_0\) be a given element in \(B\).

Define the function \(k:A \longrightarrow B\) by
\[
k(a) = b_0
\] 
for all \(a \in A\).

Then it means that no matter which input element \(a\) you have selected from the domain \(A\), the image of \(a\) under \(k\) is constantly the element \(b_0\).  We call such functions **constant functions**.

Functions

International Baccalaureate Higher Level Mathematics

Constant functions

Constant functions