Changing Behavior of Exponential Functions

Changing Behavior of Exponential Functions

Discover what it means for the graph of an exponential function to be increasing or decreasing.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Offene Frage 1

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?

Eingabe von Text und mathematischen Symbolen

Offene Frage 2

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?

Eingabe von Text und mathematischen Symbolen

Offene Frage 3

Over what interval does an exponential function appear constant? Is it ever truly constant? Why or why not?

Eingabe von Text und mathematischen Symbolen

Offene Frage 4

Can an exponential function change direction? If yes, does that mean an exponential can be both increasing AND decreasing? Why or why not?

Eingabe von Text und mathematischen Symbolen