0
$\begingroup$

I often see functions that are defined in a way, as I like to call it using braces. For example:
$$f(x) = \begin{cases} g(x) & a \leq x \leq b\\ h(x) & a>x \lor b<x\\ \end{cases} $$
where $a$, $b$ are constants and $g(x)$, $h(x)$ are some random functions that depend on $x$.
(Note that they don't need to be functions, they can also be constants).

Is there any special name for this type of functions that are defined in this way?

$\endgroup$
  • $\begingroup$ A constant is a function....the constant function if you will $\endgroup$ – Triatticus Jan 4 '18 at 22:24
  • $\begingroup$ @Triatticus well...I learned two things today :) $\endgroup$ – Plexus Jan 4 '18 at 22:30
3
$\begingroup$

This is called a piecewise function.

$\endgroup$
0
$\begingroup$

It is commonly called a piecewise defined function.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.