Signum Function Graph

The graph for the signum function has three components. It is a straight line parallel to the X-axis with a y-intercept of 1 for all positive values. The graph is a straight line parallel to X-axis intersecting Y axis at -1 whereas for 0 it is a simple point with coordinates (0, 0) i.e. origin. The graph for the signum function is shown below:

Signum Function

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.

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.

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What is Signum Function?

Signum function is a special type of function in Mathematics that attributes +1 (positive one) and -1(negative one) for the positive, and negative values of the input. This means that if a positive value is supplied to the signum function, the output is always +1, and it is -1 if a negative value is supplied to the signum function. In the case of zero, the output is always zero....

Signum Function Graph

The graph for the signum function has three components. It is a straight line parallel to the X-axis with a y-intercept of 1 for all positive values. The graph is a straight line parallel to X-axis intersecting Y axis at -1 whereas for 0 it is a simple point with coordinates (0, 0) i.e. origin. The graph for the signum function is shown below:...

Properties of Signum Function

Signum function sgn(x) has the following properties:...

Applications of Signum Function

Signum function has various applications in different fields. Some of its applications are:...

Solved Problems on Signum Function

Problem 1: Find the probable values of x if sgn(x2 – 5x + 6) = 1....

Signum Function – FAQs

Define Signum Function?...