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    Asymptotes and Maximum and Minimum Values

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    1.Determine the vertical asymptotes for the following function. Draw a sketch to show from which side the function approaches.

    y=__x2-49
    x2+9x+20

    2.Determine the horizontal asymptote for the following function. Draw a sketch to show whether the function is above or below the asymptote as x→∞.

    y=__8x2-3
    2x2+x-1

    3. Analyze and sketch the following function. Give a complete explanation of the evidence that supports the results. Include intercepts, symmetries, vertical and horizontal asymptotes, maximum and minimum points(with proof), and points of inflection.

    y=__x2
    1-x2

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    https://brainmass.com/math/optimization/asymptotes-and-maximum-and-minimum-values-120437

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