The graph below is a vertical and/or horizontal shift of y=1/x (assume no reflections or compression/expansions have been applied). (a) The graph's equation can be written in the form f(x) = 1/(x+A) + B for constants A and B. Based on the graph above, find the values for A and B.
(b) Now take your formula from part (a) and write it as the ratio of two linear polynomials of the form, f(x) = (Mx + C)/(x+D) for constants M , C, and D. What are the values of M , C, and D?
(c) Complete the exact values of the coordinates of the intercepts of the graph.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)