Signum Function

Define Signum Function?

A signum function is a special type of function which returns +1 for all values greater than zero, -1 for all values lesser than 0 and zero if the value is equal to zero.

Is Signum Function An Even Function Or an Odd Function?

Signum function is an odd function as sgn(x) = -sgn(-x).

Give Two Applications Of Signum Function.

Applications of signum function are:

• It helps to project a complex number on unit circle
• It is also used for implementing the on and off switched in electronic devices.

What Will Be the Graph of Signum Function For x=0.5?

As sgn(0.5) = 1. Thus graph of signum function in this case will be a straight line parallel to X-axis intersecting Y-axis at y=1.

What Is The Domain And Range Of Signum Function?

The domain of signum function is all real numbers which is represented by R and the range of signum function is the set [-1, 0, 1].

Signum Function is an important function in mathematics that helps us to know the sign of a real number. It is usually expressed as a function of a variable and denoted either by f(x) or by sgn(x). It may also be written as a sign(x). Signum Function also has applications in various fields such as physics, electronics, and AI due to which it becomes much more important to study signum function.

A signum function is neither a one-one nor an onto function as various elements has the same image and a pre-image has various images in the co-domain and domain set respectively. In this article, we shall discuss the signum function in detail.