function - 1 meeting 2. definition of function
TRANSCRIPT
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Function - 1
Meeting 2
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Definition of Function
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Examples
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Domain
Domain of a function is the set of all inputs for the function.
Examples
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The graph of a function helps us picture the domain and range of the function on the x-axis and y-axis
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Exercises
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Polynomial Function
Functions defined by polynomial expressions are called polynomial functions
Polynomial functions are easy to evaluate because they are defined using only addition, subtraction, and multiplication
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If a polynomial consists of just a single term, then it is called a monomial.
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The graph of a polynomial function is always a smooth curve; that is, it has no breaks or corners.
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Quadratic FunctionsA quadratic function is a function f of the form
𝑓 (𝑥 )=𝑎𝑥2+𝑏𝑥+𝑐
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Examples
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Rational Function
A rational function is a function of the form
The domain of a rational function consists of all real numbers x except those for which the denominator is zero.
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Example
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Exponential Function
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Example
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Logarithmic Function
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The function has domain and range .
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Examples
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Exercises
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Exponential and Logarithmic Equations
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Example
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Example