Logarithmic function, graph of logarithmic function

Definition: the Logarithmic function is a function of the form where

Properties of logarithmic functions

  1. Scope
  2. Multiple value
  3. Parity, odd parity
  4. The function is neither even nor odd

  5. The intersection with the coordinate axes
  6. when

    Of intersection with the axis of the no ( scope)

  7. Continuity and derivative
  8. The function is continuous and diferencian in the whole scope

  9. The intervals of constancy of sign
  10. when in

    when in

  11. The increase and decrease of
  12. Extrema no

    in — growing

    when it comes

  13. Asymptotes
  14. Video — vertical asymptote

    Functions and mutually inverse functions, so the Graphs are symmetric with respect to the line

Graphs of logarithmic functions

Логарифмічна функція

Логарифмічна функція

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