Graphs of Exponential Functions
By definition: An exponential function is a function f that you can write in the form f(x)=a∙b^x, where a≠0, b>0, and b≠1. The number b is the base. Using the Geogebra dynamic worksheet above, investigate the definition of an exponential function why manipulating the variable sliders. How does a affect the function (consider all possible cases)? How does b affect the function (consider all possible cases)? Describe the variable restrictions for a and b as defined above and why they exist.