Investigation of Logarithmic Functions

Investigation of The Properties of Logarithmic Functions.

Using the applet below see if you can recognise the following properties. What is the domain, range, equations of asymptotes, important axis intersections, shapes of the graphs, gradients of the graph and other significant properties of a logarithmic equation.

Transformation of Logarithmic Functions

Using the applet below, see if you can transform a logarithmic function. Make sure you understand how to translate vertically, translate horizontally, stretch and compress vertically, stretch and compress horizontally, reflect through the x-axis and reflect through the y-axis.