Logarithmic and Exponential Functions

1
Logarithmic and Exponential Functions
2
Rational Exponents Review
Properties of Integer Exponents
Note
3
Examples
Express each exponential given in radical form
and evaluate
Simplify each expression
4
Applications of Rational Exponents
The formula has been
devised to determine the approximate
relationship between the period and the length of
a given pendulum. This formula is derived
from the Standard Seconds Pendulum which is about
1 meter long and has a period of 2 s.
A clock has a pendulum of length 99.5 cm.
Determine the period of the pendulum to the
nearest tenth of a second.
First, convert the measurement to meters. Then
plug values from the problem into the given
formula.
5
Graphing Exponential Functions
A function that can be expressed in the form
is called an
exponential function.
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The value of b determines the steepness of the
graph.
The point (0,1) is common to the graphs.