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