Subjects
Grades
The Absolute Value Function
Concept sheet | Mathematics
Secondary
5
The basic form of an absolute value function is: ||f(x) = {\mid}x{\mid}|| It is drawn with two straight lines called branches.
For more details about the absolute value function, consult the following concept sheets.
- The Absolute Value Notation
- The Role of the Parameters in an Absolute Value Function
- Finding the Equation of an Absolute Value Function in Standard Form
- Graphing an Absolute Value Function
- The Properties of the Absolute Value Function
- Solving Absolute Value Function Equations and Inequalities
- Solving Problems Involving the Absolute Value Function
- The “Inverse” of the Absolute Value Function
In a graph, the basic absolute value function has the following characteristics.
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The graph of an absolute value function is symmetrical.
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For the basic absolute value function, the axis of symmetry is the line of equation |x = 0.|
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The vertex of the graph of the basic absolute value function is the point |(0, 0).|
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The left branch has the equation |y=-x| and the right branch has the equation |y=x.|
