Inverses
Introduction
Just like all families of functions, exponential functions have an inverse. To find the inverse, switch the x and y values of the graph, table or equation to see the new function.
Example Graph the inverse of the function: y = 2x.
Step 1. Make a table of values.
Step 2. Switch the values of x and y in the table.
Step 3. Plot the points on a coordinate plane.
*Note: The asymptote of the original function is y = 0, while the asymptote of the inverse is x = 0. Also, recall from earlier study of inverses, graphs of the inverses are reflected across the line y = x.