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, resulting in a rapid increase. Example: Population growth where the population doubles at regular intervals.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease. Example: Radioactive decay of substances.

Front

Identify the sequence: 2, 4, 8, 16, 32, 64...

Back

This is an example of exponential growth.

Front

Identify the sequence: 100, 50, 25, 12.5...

Back

This is an example of exponential decay.

Front

Back

The y-intercept is 1, which occurs when x=0.

Front

Back

f(2) = 18.

Front

What does the graph of an exponential growth function look like?

Back

The graph rises steeply to the right, indicating rapid increase.

Front

What does the graph of an exponential decay function look like?

Back

The graph falls steeply to the right, indicating rapid decrease.

Front

What is the general form of an exponential function?

Back

Front

What is the base in an exponential function?

Back