Exponential Functions

Front

What is an exponential function?

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Front

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

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The base 'b' represents the growth (if b > 1) or decay (if 0 < b < 1) factor of the function.

Front

What is the general form of an exponential growth function?

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Front

What is the general form of an exponential decay function?

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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.

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.

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?

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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?

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