1'2 Mathematical Models: A Catalog of Essential Funcions

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1.2 - Mathematical Models A Catalog of Essential
Funcions
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Mathematical Models
Mathematical models are mathematical descriptions
of real-world phenomenon.
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Essential Functions
Polynomial Functions
Include Constant, Linear, Quadratic, and other
Polynomial Functions.
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Essential Functions
Power Functions
where c is a constant and a is any real number
(usually rational). Includes Some Polynomial,
Root, and Reciprocal Functions.
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Essential Functions
Rational Functions
where P(x) and Q(x) are polynomial functions.
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Essential Functions
Algebraic Functions
Algebraic Functions are any function constructed
using mathematical operations.
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Essential Functions
Trigonometric Functions
Trigonometric functions tend to be periodic in
nature (repeating the same patterns in a
predictable manner).
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Essential Functions
Exponential Functions
where b gt 0 and b ? 1.
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Essential Functions
Logarithmic Functions
where b gt 0 and b ? 1. Logarithmic functions are
the inverses of exponential functions (and vice
versa).
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Essential Functions
Transcendental Functions
Transcendental functions include the
trigonometric, inverse trigonometric,
exponential, and logarithmic functions, but also
includes a vast number of other functions that
have never been named.
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Example Classify each function.
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You Try It
Page 36 10, 12, 14.