Exponential Functions

Front

What is an exponential function?

Back

Front

What does the base 'b' in an exponential function represent?

Back

The base 'b' represents the growth factor. If b > 1, the function models exponential growth; if 0 < b < 1, it models exponential decay.

Front

What is the general form of an exponential growth function?

Back

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the quantity increases over time (b > 1), while exponential decay occurs when the quantity decreases over time (0 < b < 1).

Front

Back

The '3' represents the initial value or y-intercept of the function.

Front

How do you identify an exponential function from a set of data?

Back

An exponential function can be identified if the ratio of consecutive outputs remains constant or if the amount increases or decreases by a constant factor.

Front

What is the y-intercept of an exponential function?

Back

Front

What does the term 'doubling' mean in the context of exponential functions?

Back

Doubling refers to a situation where the quantity increases by a factor of 2 for each unit increase in x.

Front

What is the equation for exponential decay?

Back

Front

How can you determine the growth rate from an exponential function?

Back