# Linear function, graph of a linear function

Definition: a Linear function is a function of the form where is some number

## Properties of linear functions

1. Scope 2. 3. Multiple value 4. when when 5. Parity, odd parity
6. if the function is neither even nor odd

in — steamroom

if and is odd

7. The point of intersection with the axes
8. at the point of intersection with the axis  then straight and parallel to the axis at a and coincides with the axis when 9. Continuity and differentiability
10. A linear function is continuous and diferencian on the entire number line 11. The increase and decrease of
12. when a function is increasing on all number line

when a function is decreasing on the entire number line

when a function became

13. The graph of a linear function is always a straight, tangent of slope angle of this straight line to the axis

at the point of intersection with the axis  — the angular coefficient of the straight when is a straight line passing through the origin

when is a straight line, not passing through the origin

## Graphs of linear functions          Tags:
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