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. Multiple value
  3. when

    when

  4. Parity, odd parity
  5. if the function is neither even nor odd

    in — steamroom

    if and is odd

  6. The point of intersection with the axes
  7. at the point of intersection with the axis

    then straight and parallel to the axis at a and coincides with the axis when

  8. Continuity and differentiability
  9. A linear function is continuous and diferencian on the entire number line

  10. The increase and decrease of
  11. when a function is increasing on all number line

    when a function is decreasing on the entire number line

    when a function became

  12. 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

Лінійна функція

Лінійна функція

Лінійна функція

Лінійна функція

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