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Asymptotes and Maximum and Minimum Values

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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