# What is absx?

Sep 9, 2017

See below

#### Explanation:

(i) The absolute value of a number on the real line is its distance from $0$ (irrespective of sign).

(ii) The absolute function returns the positive value of its argument, whether the argument is posivive or negative.

Examples:

(i) $\left\mid - 4 \right\mid = 4$

(ii) $\left\mid x \right\mid =$positive $x \forall x \in \mathbb{R}$

The graph of $y = \left\mid x \right\mid$ below should help demonstrate the absolute function.

graph{absx [-9.88, 10.12, -1.76, 8.24]}