Graphs of Exponential Function y = k a^x

Author:
Lew W.S.
Use this for self learning of exponential functions. Use the input box or slider to change values of a and k and write down observations about how the shape of the curve is affected.
How does increasing the value of k alone change the curve? How does decreasing the value of k alone change the curve? What is the difference in the shape of the curve for a particular value of k and its negative value -k ? How does increasing the value of a alone change the curve? How does decreasing the value of a alone change the curve? What is the difference in the shape of the curve for a particular value of a and its negative value -a ? Why can't a be <0 or a = 0 or a = 1