Explore graphs of exponential functions, i.e. those with equations of the form [math]y = a^x[/math].
Adjust the value of a using the slider. 1. What do the graphs of [math]y=a^x[/math] have in common for different values of a? 2. How do the graphs of [math]y=a^x[/math] differ for different values of a?... - what happens if a>1? - what happens if 0<a<1? - what happens if a=1? 3. What kind of transformation links all the different graphs of [math]a^x[/math]? e.g. you can you transform [math]y=2^x[/math] to [math]y=8^x[/math]?