handout_11_2 - 3 the local/global extrema of the function...

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Math 1a: Curve sketching November 2, 2009 Sketch each of the following functions, showing all important details. Use some of the following to extract as much information about the plot as you can: 1. the domain of definition of the function, vertical and horizontal asymptotes; 2. the values of the function at simple points ( x = 0, etc), zeros of the function (if they are readily calculable), intervals on which the function is positive/negative;
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Unformatted text preview: 3. the local/global extrema of the function, intervals where the function is increasing/decreasing (use the first derivative); 4. the inflection points of the function, intervals where the function is concave up/down (use the second derivative). 1. √ x 2 + 1 2. xe x 1 3. e-x 2 2 4. x x 2-4 5. x 2 x + 3 6. x 2 5 ( x-2) 3 2...
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