Exponential Functions and Their Characteristics

Front

What is an exponential function?

Back

Front

What does the 'a' represent in an exponential function?

Back

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

Front

What is the growth factor in an exponential function?

Back

Front

What is the decay factor in an exponential decay function?

Back

Front

How do you identify an exponential growth function?

Back

Front

How do you identify an exponential decay function?

Back

Front

What is the general form of an exponential function?

Back

Front

What does the term 'exponential growth' mean?

Back

Exponential growth refers to an increase in quantity where the rate of growth is proportional to the current amount, leading to rapid increases over time.

Front

What does the term 'exponential decay' mean?

Back

Exponential decay refers to a decrease in quantity where the rate of decay is proportional to the current amount, leading to rapid decreases over time.

Front

Back

The y-intercept is 2, which is the value of the function when x = 0.