Writing Exponential Functions from Tables

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 does the base 'b' indicate in an exponential function?

Back

'b' indicates the growth factor if b > 1 (growth) or the decay factor if 0 < b < 1 (decay).

Front

How do you determine if a function is exponential from a table of values?

Back

Check if the ratio of consecutive outputs (y-values) is constant when the inputs (x-values) increase by the same amount.

Front

What is the general form of an exponential decay function?

Back

Front

What is the general form of an exponential growth function?

Back

Front

How can you write an exponential function from a given table?

Back

Identify the initial value (y-intercept) and the growth/decay factor from the changes in y-values as x increases.

Front

What does it mean if an exponential function has a base less than 1?

Back

It indicates that the function represents exponential decay.

Front

Back

The value is 1, as any non-zero number raised to the power of 0 is 1.

Front

How do you identify exponential growth from a graph?

Back

The graph will show a curve that rises steeply as x increases, indicating that y increases rapidly.