Writing Exponential Equations

Front

What is an exponential function?

Back

Front

What does the base of an exponential function represent?

Back

The base of an exponential function indicates the growth or decay factor. If the base is greater than 1, the function represents exponential growth; if the base is between 0 and 1, it represents exponential decay.

Tags

CCSS.HSF-IF.C.8B

Front

How do you write an exponential equation for a population that doubles every time period?

Back

Tags

CCSS.HSF.LE.A.2

Front

What is the general form of an exponential growth equation?

Back

Front

What is the difference between growth and decay in exponential functions?

Back

Growth occurs when the base of the exponential function is greater than 1, leading to an increase over time. Decay occurs when the base is between 0 and 1, leading to a decrease over time.

Tags

CCSS.HSF-IF.C.8B

Front

How do you determine the growth/decay factor from an exponential function?

Back

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for exponential decay?

Back

Tags

CCSS.HSF-LE.A.1A

Front

How can you express an exponential function in terms of time?

Back

Front

What is the significance of the initial value in an exponential function?

Back

The initial value 'a' in an exponential function represents the starting amount before any growth or decay occurs.

Tags

CCSS.HSF-IF.C.8B

Front

How do you convert a doubling time into an exponential equation?

Back

Tags

CCSS.HSF.LE.A.2