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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.
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