Absolute Value Function
f(x) = |x|
The absolute value function is a mathematical function that returns the magnitude or distance of a number from zero on the number line. It is denoted by two vertical bars enclosing its argument, i.e. |x|.
The absolute value of a number is always positive. If the argument is a positive number, its absolute value is equal to the original number. If the argument is a negative number, its absolute value is equal to the opposite of the original number.
For example, the absolute value of -5 is 5, and the absolute value of 3 is 3.
Graphically, the absolute value function is represented by the shape of a “V” with its vertex at the origin. The function starts at zero and moves upward to the right and left of the origin in a straight line.
Applications of the absolute value function can be found in many areas, including physics, engineering, and economics. It is commonly used to represent distances, magnitudes, and differences between quantities.
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