Exponential Growth and Decay

Front

What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, leading to rapid increases as time progresses.

Front

What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to rapid decreases as time progresses.

Front

What is Linear Growth?

Back

Linear Growth occurs when a quantity increases by a constant amount over equal intervals of time.

Front

What is Linear Decay?

Back

Linear Decay occurs when a quantity decreases by a constant amount over equal intervals of time.

Front

What is the general form of an Exponential Growth function?

Back

Front

What is the general form of an Exponential Decay function?

Back

Front

How can you identify an Exponential function from a graph?

Back

An Exponential function graph shows a curve that rises or falls sharply, unlike a straight line for Linear functions.

Front

What does the base of an Exponential function indicate?

Back

The base indicates the growth or decay factor; if the base is greater than 1, it's growth; if less than 1, it's decay.

Front

What is the difference between Linear and Exponential functions?

Back

Linear functions add a constant amount, while Exponential functions multiply by a constant factor.

Front

What does a decay factor of 0.20 indicate in an Exponential Decay function?

Back

A decay factor of 0.20 means the quantity decreases to 20% of its previous value each time period.