Logarithmic Functions (Domain, Range, Graphing & Transformations)

This logarithmic functions video explains how to find the domain and range, introduces the graphs of logarithmic functions, and show you how to do logarithmic function transformations for graphing. We start with domain restrictions of logarithms and describes the details of graphs of logarithmic functions: points, domain, range, equation of the vertical. We also explain how to interpret function transformations for log functions: translation (shift), stretching, and reflection; using the concepts of IHOD and OVER, and describe how these affect the domain, range, and asymptote. These are common topics found in algebra and precalculus.
0:00 Domain of a logarithm
1:26 Examples of finding domain
3:11 Graphs of logarithmic functions
6:20 Transformations of log graphs
6:59 Transformation Example 1
8:53 Transformation Example 2
11:07 Transformation Example 3
13:42 Transformation Example 5