What characteristics are identified from the graph of an exponential function?

1 Answer
Jun 3, 2015

Consider the exponential function #f(x)=a^(kx)#, where #a# and #k# are constant, #a, k in RR#.

I prepared a dynamic plot that can be used to study the properties of the exponential function as #a# and #k# take various values.

Please use the provided sliders to change the values of the parameters #a# and #k# and see what happens to the graph of the function.

Pay particular attention to the cases when # 0 < a < 1 # and # a > 1#. For each of these cases, see what happens when #k<0# and #k>0#.

https://www.desmos.com/calculator/g3k7pyi7dz