How to construct the schedule of the module

How to construct the schedule of the module

From the geometrical point of view, the module of real or complex number is distance between number and the beginning of coordinates. Also the module of a difference of two sizes is equal in mathematics to distance between them.


1. The coordinate plane in mathematics call the plane on which the Cartesian system of coordinates is set. The Cartesian system of coordinates has that property that breaks the coordinate plane into four quarters. The first quarter is limited to the positive directions of abscissa axes and ordinates, other quarters are numbered one after another, counterclockwise. At creation of function graphs at which there is a module the third and fourth quarters are most interesting that is where function accepts negative values.

2. Let's consider the f (x) function = |x|. For a start we will construct the schedule of this function without sign of the module, that is a function graph of g (x) = x. This schedule is the straight line passing through the beginning of coordinates and a corner between this straight line and the positive direction of abscissa axis makes 45 degrees.

3. As the module size non-negative, that part of the schedule which is below abscissa axis needs to be displayed specularly concerning it. For the g (x) function = x we will receive that the schedule after such display will become similar to letter V. This new schedule will also be graphic interpretation of the f (x) function = |x|.

Author: «MirrorInfo» Dream Team