Changing Behavior of Exponential Functions
Discover what it means for the graph of an exponential function to be increasing or decreasing.
Tâche 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Tâche 2
Move the slider to choose a base value close to 0. Over what range of multiplier values and over what interval is the graph increasing? Decreasing?
Tâche 3
Move the slider to choose a base value further from 0. Over what range of multiplier values and over what interval is the graph increasing? Decreasing?
Tâche 4
Over what interval does an exponential function appear constant? Is it ever truly constant? Why or why not?
Tâche 5
Can an exponential function change direction? If yes, does that mean an exponential can be both increasing AND decreasing? Why or why not?