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Rational and Exponential Functions
- Growth factor of an exponential
function: growth factor is greater than 1
- Exponential growth function: the quantity
increases, slowly at first, and then very rapidly.
The rate of change increases over time. The
rate of growth becomes faster as time passes.
- Rational function: is any function which
can be defined by a rational fraction
- Horizontal & Vertical Asymptotes of Rational Functions: Vertical
asymptotes are vertical lines which correspond to the zeroes of the
denominator of a rational function.
- Initial amount for an exponential
function: starting amount before
the rate
- Exponential decay function: the
quantity decreases very rapidly at first,
and then more slowly. The rate of
change decreases over time.
- Decay factor of an exponential
function: the decay factor is 0 < b <
1
- Horizontal Asymptotes of Exponential Functions
- End behavior of a graph with asymptotes: for
numerically large values of x, we can sometimes
model the behavior of a complicated function by a
simpler one that acts virtually in the same way
- Y-intercept of an exponential function
- Exponential function: f (x) = abx
- Compound Interest Formula: A=P(1+r/n)nt
- Continuous Compounding: the process of
earning interest on top of interest. The
interest is earned constantly, and
immediately begins earning interest on
itself.
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