.htm_cmp_mathematik110_vbtn.gif){kind=small}
|
Linear function Function regulation f(x) = mx + b [Home] [Search] [Forum] [Links] [Contact] [Imprint] [Sitemap]
[German]
[English] |
||||||||||||||||||||||||||||||||||||||||||||||||||||
|
In the linear function the x-value is made corresponding to the y-value. This is how it is generally written: y = m · x + b. There is also another variation: f(x) à m · x + b. The first variant is easier to understand. m = acclivity (rising) b = y-axis segment
The simplest linear function is y = x (m = 1 but is not written extra and b = 0 is also left out). The value chart is very simple:
We can also represent this in a coordinate system:
The graph goes through the origin. This is why it is called original line. There are also three possibilities to represent a linear function.
An task would be y = 4x + 5 for example. When we only need a specific amount we can insert a number instead of x and figure it out. The possibility is very close to the table of value and that is why:
This is what it would look like in the coordinate system:
If we only want the regulation from the graph, then we have to do as follows: We draw some points that can be easily read off and make a right angled triangle.
|
