Problems:
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