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Unformatted text preview: Math 1650 Lecture Notes Â§2.3 Jason Snyder, PhD. Increasing and Decreasing Functions; Average Rate of Change Page 1 of 5 Â§ 2.3: Increasing and Decreasing Functions; Average Rate of Change Increasing and Decreasing Functions It is very useful to know where the graph of a function rises and where it falls. The graph shown below falls then begins to rise: 321 1 2 3 4 5 2 4 6 8 x y (2,3) When the graph of a function is falling, we say the function is decreasing; when the graph rises, we say the function is increasing. The above graph is the graph of the function ?Â¡ = ? âˆ’ 2 Â¡ 2 + 3 . Thus we say that f is decreasing from ( ,2) and f is increasing from (2, ). Definition of Increasing and Decreasing Functions f is increasing on an interval I if ? 1 Â¡ < ( ? 2 ) whenever ? 1 < ? 2 in I . f is decreasing on an interval I if ? 1 Â¡ > ( ? 2 ) whenever ? 1 < ?...
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 Spring '06
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 Math, Derivative, Rate Of Change, average rate, Jason Snyder

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