There are many problems which deal with
exponential growth or decay.
Exponential functions are those in which the rate of change (either
growth positive or decay negative) increase or decrease with time.
Exponential functions have the following form:

Where f(x) is a function, b is the base and x is the exponent or
power. If b is positive than the function continuously increases
over time, if x is negative than the function continuously decreases
over time. A property of exponential functions is that the slope of
the function also continuously increases as x increases.
When writing exponential functions it is common to use the carat
sign “^”, this sign means raised to the power. Many computer
programs and calculators use this sign.
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