6.1 - MATH 1081 Monday, March 7 Chapter 6 Section 1...

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MATH 1081 Monday, March 7 Chapter 6 – Section 1 ABSOLUTE EXTREMA Homework #8 (due 3/14): Section 6.1 #14, 22, 24, 56 Section 6.2 #14, 18, 22, 26 Clicker Check-in : Choose any letter to check in now.
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Recall the concept of relative extrema. A function f has a relative maximum at x = c if f c ( ) is the largest value of the function in its neighborhood. A function f has a relative minimum at x = c if f c ( ) is the smallest value of the function in its neighborhood. Although understanding where relative extrema lie provides us an idea of the shape of the function, for most applications, we won’t be interested in those local extremes, but rather want the ultimate highest or lowest point.
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Definition: Absolute Extrema If f x ( ) f c ( ) for all x in the domain of f , then f has an absolute maximum value of f c ( ) occurring at x = c . If f x ( ) f c ( ) for all x in the domain of f , then f has an absolute minimum value of f c ( ) occurring at x = c . In other words, a function
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6.1 - MATH 1081 Monday, March 7 Chapter 6 Section 1...

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