Graphs of Exponential and Logarithmic Functions

The exponential function $y=b^x$ where $b>0$ is a function that will remain proportional to its original value when it grows or decays.

Logarithmic functions can be graphed manually or electronically with points generally determined via a calculator or table.

Some functions with rapidly changing shape are best plotted on a scale that increases exponentially, such as a logarithmic graph.