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Unformatted text preview: . Steps for graphing a polynomial function: 1. Set the function equal to zero and solve. This gives you the zeros of the function (x­intercepts on the graph.) Plot the x­intercepts. 2. Find the y­intercept by plugging in 0 for x. Plot the point. 3. Using the leading coefficient test, determine the left­ and right­hand behavior of the function. Sketch the behavior on the appropriate x­intercepts. 4. Find the derivative of the polynomial. Set it equal to 0 and solve. These are the x­coordinates of the turning points. Plug these values into the original function to find the y­coordinates of the relative maximum and minimum points on the graph. Plot the points. 5. Use multiplicity of the zeros to determine if the graph passes through the x­axis at a zero or if it touches and turns. 6. Sketch the graph with smooth, rounded turns. Dec 9­9:42 AM Dec 10­6:48 AM Sketch the graph of each polynomial function. Find the coordinates of each turning point by using the derivative, if possible. 1. 2. 3. 4. Dec 10­9:35 AM Dec 10­9:40 AM 2...
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This note was uploaded on 07/21/2013 for the course MATH PreCalculu taught by Professor Mr.jillion during the Fall '12 term at El Paso H S.

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