Definition: the Logarithmic function is a function of the form where
Properties of logarithmic functions
- Scope
- Multiple value
- Parity, odd parity
- The intersection with the coordinate axes
- Continuity and derivative
- The intervals of constancy of sign
- The increase and decrease of
- Asymptotes
The function is neither even nor odd
when
Of intersection with the axis of the no ( scope)
The function is continuous and diferencian in the whole scope
when in
when in
Extrema no
in — growing
when it comes
Video — vertical asymptote
Functions and mutually inverse functions, so the Graphs are symmetric with respect to the line