Consider the graph of the function f(x) = (x + 1)^3 / (x - 1)^2
A. What is the y-intercept of the graph? y = 1
For the following 3 questions, enter all possible values, separated by commas. If there are none, type 'none'.
B. What are the x-intercepts of the graph? x = -1
C. At what values of x does the graph have a vertical asymptote? x = 1
D. At what values of y does the graph have a horizontal asymptote? y = none
E. What is the equation of the slant asymptote with the highest slope? y =
For the following 2 questions, enter your answers in the form (-2, 3], (-1,0)U[1,2), etc. using I for infinity or type 'empty' for empty set
F. For what values of x is f decreasing? (1,5)
G. For what values of x is f concave up? (-1,1)U(1,I)
Note: You can earn partial credit on this problem.