Function defined as follows : \(f : \mathbb{R}\) →\(\mathbb{R}_{+}\) : x ↦ | x |.
Symbol
The absolute value of a real number x is written as |x| and is read as “the absolute value of x “.
- The standard form of the relation that describes this function is f(x) = a |x – h| + k, in which the coordinates of the vertex are (h, k).
- The general form of the relation that describes this function is f(x) = a |bx + c| + d where a, b, c and d are real numbers.
Example
- The graphical representation of the absolute value function is :
- This is the graph of the function defined by the relation f(x) = 0.5 |5x + 1| − 3 :
