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# Day-5-filled - Math 1314 Day 5 Curve Sketching You will...

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Math 1314 Day 5 Curve Sketching You will need to be able to use the following guide to sketch the graphs of functions. A Guide to Curve Sketching 1. Determine the domain of f. 2. Find the rational x intercept(s) and y intercept of the function. If there are no rational x intercepts, say so. Note, occasionally, approximations of the zeros of the function may be given to you. 3. Determine the end behavior of the function. 4. Determine where the function is increasing and where it is decreasing. 5. Find the x and y coordinates of any relative extrema. 6. Determine where the function is concave upward and where it is concave downward. 7. Find the x and y coordinates of any points of inflection. 8. If necessary, plot a few additional points to determine the shape of the graph. 9. Sketch the function.

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Example 10 : Use the guide to curve sketching to sketch 3 4 4 ) ( x x x f - = .

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Sometimes a function has some zeros that are not rational. We may occasionally give you the approximate zeros of the function and ask you to complete the rest of the guide to
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## This note was uploaded on 02/21/2012 for the course MATH 1314 taught by Professor Marks during the Fall '08 term at University of Houston.

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Day-5-filled - Math 1314 Day 5 Curve Sketching You will...

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