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Unformatted text preview: Let ′ f x ( )= 4 x 312 x 2 a) Identify where the extrema of f occur. b) Find the intervals on which f is increasing the intervals on which f is decreasing. c) Find where the graph of f is concave up and where it is concave down. d) Sketch a possible graph for f . (Just show shape – not location of points) Calculus Section 4.3 Page15 Example 4 Using the Graph of f Use the graph of the function f to estimate where a) ′ f and b) ′ ′ f are 0, positive, and negative. Example 5 Using the Graph of ′ f Use the graph of ′ f to draw the corresponding thumbnail. Then estimate the intervals on which the function f is a) increasing or b) decreasing. c) Estimate where f has local extreme values Assignment III3b Pages 203 – 205 #1 – 6 all*, 33, 34, 37, 39, 41, 43, 45, 47, 48, Graphing Session II Sheet –2 2 y = f x ( ) –2 2 y = f x ( ) y = ′ f x ( ) y = ′ f x ( )...
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 Spring '10
 John
 Calculus, Derivative, Convex function, possible graph, Graph Summary Example

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