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 (if b > 1) or decay (if 0 < b < 1) factor of the function.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential growth function?

Back

Tags

CCSS.HSF-LE.A.1A

Front

What is the general form of an exponential decay function?

Back

Tags

CCSS.HSF-IF.C.8B

Front

How do you identify an exponential growth function from a table of values?

Back

An exponential growth function will show values that increase rapidly as 'x' increases, typically doubling or increasing by a constant percentage.

Tags

CCSS.HSF-LE.A.1A

Front

How do you identify an exponential decay function from a table of values?

Back

An exponential decay function will show values that decrease rapidly as 'x' increases, typically halving or decreasing by a constant percentage.

Tags

CCSS.HSF-LE.A.1A

Front

What is the initial value in an exponential function?

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Front

What does the term 'compound interest' mean in relation to exponential functions?

Back

Compound interest refers to the interest calculated on the initial principal and also on the accumulated interest from previous periods, modeled by an exponential function.

Front

If a bank account has an initial deposit of $850 and earns 2.5% interest compounded annually, what is the function that models the balance after 'x' years?

Back

Tags

CCSS.HSF.LE.A.2

Front

Back

The value '1.025' represents the growth factor, indicating that the account balance increases by 2.5% each year.

Tags

CCSS.HSF-IF.C.8B