Page 1: Introduction to Logarithmic Functions

This page introduces the concept of the logarithmic function and provides a graphical representation of specific examples.

Definition: A logarithmic function with base a (where a is positive and not equal to 1) is defined as y = log_a(x), where x > 0.

The page includes two graphs:

1. Wykres funkcji logarytmicznej (Graph of the logarithmic function) y = log_(1/2)(x)
2. Graph of the function y = log_2(x)

Highlight: The graphs visually demonstrate the key properties of logarithmic functions, including their domain, range, and behavior for different x values.

The page also begins to list some properties of logarithmic functions, which are further elaborated on the next page.

Example: The graph of y = log_(1/2)(x) is shown to be a decreasing function, while y = log_2(x) is an increasing function, illustrating how the base affects the function's behavior.