13112an2b.8-10

13112an2b.8-10 - c Kendra Kilmer January 23, 2012 Section...

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c c Kendra Kilmer January 23, 2012 Section 2.8 - What Does f Say About f ? What does f say about f ? If f ( x ) > 0 on an interval, then f is on that interval. If f ( x ) < 0 on an interval, then f is on that interval. If f ( x ) = 0 on an interval, then f is on that interval. Example 1: Given that the domain of f ( x ) is all real numbers and the graph below is of f ( x ) , determine the interval(s) on which f ( x ) is increasing and decreasing. f ’(x) a b c Example 2: Let’s discuss the idea of local extrema: x a b c d e f(x) Suppose x = c is in the domain of f ( x ) 1. If f ( x ) changes from to at x = c , then we have that f ( x ) is and at x = c there is a . 2. If f ( x ) changes from to at x = c , then we have that f ( x ) is and at x = c there is a . 3. If the sign of f ( x ) is the same on both sides of x = c , then at x = c . 8
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c c Kendra Kilmer January 23, 2012 Example 3: Given that the domain of f ( x )
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This note was uploaded on 04/01/2012 for the course MATH 131 taught by Professor Allen during the Fall '08 term at Texas A&M.

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13112an2b.8-10 - c Kendra Kilmer January 23, 2012 Section...

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