THE MODULUS FUNCTION

THE MODULUS FUNCTION,
also known as 

the absolute value function,

 represents the 
distance of a number from zero on the number line.

 It is denoted using vertical bars, such as |x|. 

Regardless of whether the input is positive or negative, 

the output is always a non-negative value.

Here are some real-life applications of absolute value 

Measuring Distance:
Absolute value is used to calculate the actual distance between two points, regardless of direction. For example, if someone walks 5 meters forward and then 3 meters back, the total distance moved can be calculated using absolute values.
Banking and Finance:

When calculating losses or gains, only the magnitude is often considered. For instance, a debt of $200 is represented as -200, but the amount owed (absolute value) is still $200.
Temperature Changes:
In weather forecasting, absolute value is used to measure the difference between two temperatures, regardless of whether the temperature increased or decreased.
Engineering and Construction:
Engineers use absolute values to determine tolerances — the acceptable range of variation in measurements — since only the size of the deviation matters, not its direction.
Physics:
In velocity and speed calculations, speed is the absolute value of velocity. Even if an object moves in the opposite direction, its speed (distance covered per unit of time) is always positive.
Computer Science:
Algorithms often use absolute values when comparing data points, such as in image processing, error detection, or data clustering.
Economics and Statistics:
Absolute deviation is a statistical measure used to show how data points differ from the average, helping analysts understand variability in data.

GRAPH OF THE MODULUS FUNCTION