ca_m10 - MAC 1105 Module 10 Higher-Degree Polynomial...

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Rev.S08 MAC 1105 Module 10 Higher-Degree Polynomial Functions
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2 Rev.S08 Learning Objectives Upon completing this module, you should be able to 1. Identify intervals where a function is increasing or decreasing. 2. Find extrema of a function. 3. Identify symmetry in a graph of a function. 4. Determine if a function is odd, even, or neither. 5. Recognize and graph polynomial functions. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
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3 Rev.S08 Higher-Degree Polynomial Functions http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. - - Nonlinear Functions and Their Graphs Nonlinear Functions and Their Graphs - - Polynomial Functions and Models Polynomial Functions and Models There are two major topics in this module:
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4 Rev.S08 Let’s get started by looking at some polynomial functions. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
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5 Rev.S08 Polynomial Functions Polynomial functions are frequently used to approximate data. A polynomial function of degree 2 or higher is a nonlinear function. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
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6 Rev.S08 Is the Function Increasing or Decreasing? The concept of increasing and decreasing relate to whether the graph of a function rises or falls . Moving from left to right along a graph of an increasing function would be uphill . Moving from left to right along a graph of a decreasing function would be downhill . We speak of a function f increasing or decreasing over an interval of its domain . http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
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7 Rev.S08 Is the Function Increasing or Decreasing? (Cont.) http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
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8 Rev.S08 Example Use the graph of shown below and interval notation to identify where f is increasing or decreasing . http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. Solution Solution Moving from left to right on the graph of f , the y-values decreases until x = 0, increases until x = 2, and decreases thereafter. Thus, in interval notation f is decreasing on
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9 Rev.S08 Extrema of Nonlinear Functions http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. Graphs of
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This note was uploaded on 11/11/2011 for the course MATH 110 taught by Professor Staff during the Winter '08 term at BYU.

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ca_m10 - MAC 1105 Module 10 Higher-Degree Polynomial...

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