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Unformatted text preview: trees? (Don’t worry about right or wrong. ..just write down one reason this might happen. ..) 2. Examine the piecewisedeﬁned function below for various values of the numbers m and b : f ( x ) = 4 x + x 2 x ≤ mx + b x > Graph f ( x ) below with the given choices of m and b . m = 1 and b = 1 m =1 and b = 0 m = 1 and b = 0 What are ALL of the possible choices of m and b will make f ( x ) continuous at ? Do any choices of m and b make f ( x ) differentiable at ? Determine the particular values of m and b that will make f ( x ) differentiable at . 3. Suppose lim x → f ( x ) = L . Find g (0) where g ( x ) = xf ( x ) x 6 = 0 x = 0 What does this tell you about the graph of xf ( x ) in general for a function f ( x ) at x = 0 ?...
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This note was uploaded on 05/27/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.
 Spring '08
 ALL
 Calculus, Derivative

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