Exponential function graph exponential functions

Definition: Pokaznikiv function is a function of the form where

Properties of exponential functions

1. Scope



2. Multiple value



3. Parity, odd parity

The function is neither even nor odd

4. The intersection with the coordinate axes

Of intersection with the axis of the no ( at )



5. Continuity and derivative

The function is continuous and diferencian in the whole scope



6. The intervals of constancy of sign



For all

7. The increase and decrease of

Extrema no

in — growing

when it comes

8. Asymptotes

Video — horizontal asymptote

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

Graphs of exponential functions