Problem:
Plot the graphs of the functions

for values of a between -4 and 4. Find the domain and range of f.


Visualization:
In the following LiveMath Notebook, you can start and stop the animation by clicking on the graph. The value of a is indicated in the upper right-hand corner of the graph.


You can change the function in the notebook above. Try

[To change the definition of f(x) in the notebook above, highlight the exponent in right-hand side of the equation and then type in the new exponent.]