ca_m10_handouts

ca_m10_handouts - MAC 1105 Module 10 Higher-Degree...

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1 Rev.S08 MAC 1105 Module 10 Higher-Degree Polynomial Functions 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. ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 3 Rev.S08 Higher-Degree Polynomial Functions ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. - Nonlinear Functions and Their Graphs - Polynomial Functions and Models There are two major topics in this module:
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2 4 Rev.S08 Let’s get started by looking at some polynomial functions. ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 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. ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 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 . ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules.
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3 7 Rev.S08 Is the Function Increasing or Decreasing? (Cont.) ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 8 Rev.S08 Example Use the graph of shown below and interval notation to identify where f is increasing or decreasing . ht p:/ 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 9 Rev.S08 Extrema of Nonlinear Functions ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Graphs of
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This note was uploaded on 10/18/2011 for the course MAC 1105 taught by Professor Russel during the Summer '07 term at Valencia.

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ca_m10_handouts - MAC 1105 Module 10 Higher-Degree...

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