Absolute Value Function
The absolute value function is a mathematical function denoted by |x|, where x is a variable
The absolute value function is a mathematical function denoted by |x|, where x is a variable. It returns the non-negative value of a number, irrespective of its sign. In other words, it gives the distance of the number from zero on a number line.
Mathematically, the absolute value function can be defined as follows:
| x | =
x, if x ≥ 0,
-x, if x < 0.
For example, let's evaluate |3|:
Since 3 is a positive number, the absolute value of 3 is 3 itself. Therefore, |3| = 3.
Similarly, let's evaluate |-5|:
Since -5 is a negative number, the absolute value of -5 is its positive counterpart. Hence, |-5| = 5.
The absolute value function has various applications in mathematics, science, and engineering. It is used to measure distances, calculate magnitudes, and express constraints in equations.
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