\"\"

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The function is \"\".

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Compare the above function with \"\".

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\"\" and \"\".

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The period is \"\".

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Two consecutive vertical asymptotes can be found by solving the equations \"\" and \"\".

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Consider \"\".

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\"\"

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Consider \"\".

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\"\"

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The two consecutive vertical asymptotes occur at \"\" and \"\".

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The vertical asymptotes are \"\" and \"\" in the interval \"\".

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The vertical asymptotes are \"\" and \"\" in the interval \"\", where \"\" is an odd integer.

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\"\"

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The interval \"\" corresponds to one cycle of the graph.

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Divide the interval \"\" into four equal parts to produce the key points.

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One fourth of part \"\".

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The \"\"- coordinates of the five key points are

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\"\".

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\"\"

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\"\" 

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\"\"

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\"\".

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\"\"

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Create the table listing the coordinates of key points like vertical asymptotes, \"\" intercepts and Intermediate points.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
FunctionVertical AsymptotesIntermediate Point\"\" interceptsIntermediate PointVertical Asymptotes
\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"
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\"\"

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(1) First plot the asymptotes.The midpoint between two consecutive vertical asymptotes is an \"\" - intercept of the graph.

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(2) The period of the function \"\" is the distance between two consecutive vertical asymptotes.

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(3) Plot the points obtained in the table for one cycle.Finally, sketch one or two additional cycles to the left and right.

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Graph :

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\"\"

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\"\"

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Graph of the function \"\" :

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\"\"