Absolute Value Function
Absolute Value of a function is given by,
f(x) = |x|
Its value is given by,
- |x| = +x for x > 0
- |x| = -x for x < 0
In the definition of an absolute value function, the value |a| is,
|x| = +x or -x
We also know that,
√{x2} = +x or -x
Thus,
f(x) = |x| = √{x2}
Absolute Value Function Graph
The absolute value of a number is represented by |a|. This value or number represents the distance between a and 0 on a number line. Absolute value equations are equations that contain expressions for absolute values. The equation for absolute values is: There are two forms of absolute value inequality.
- |a| = +a for a≥ 0
- |a| = -a for a ≤ 0
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Absolute Value
Absolute Value for a number x is denoted by |x|, pronounced as “module x”. It is also referred to as numbers or magnitudes. Absolute values are only numeric values and do not include the sign of the numeric value.
Let’s learn about Absolute value in detail, including its symbol, properties, graph, and examples.
Table of Content
- What is Absolute Value?
- Absolute Values of a Number
- Absolute Value of 0
- Absolute Value Function
- Absolute Value Function Graphs
- Absolute Value of Complex Number
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