1. Find f¹(x). f(x) = x² + 8x, x 4

f¹(x) =

2. Find f¹(x). f(x) = 2x/ x-9 , x 9

f¹(x) =

3.Determine the x-intercepts of the graph of P. For each x-intercept, use the Even and Odd Powers of (x c) Theorem to determine whether the graph of P crosses the x-axis or intersects but does not cross the x-axis. P(x) = (x 6)(x + 2)(x 8)

(x, y) = (smallest x-value)

(x, y) =

(x, y) =(largest x-value)

4. The power P, in watts, generated by a particular wind turbine with winds blowing at v meters per second is given by the cubic polynomial function P(v) = 4.4v³.

(a) Find the power generated, to the nearest 10 watts, when the wind speed is 9 meters per second.

(b) What wind speed, in meters per second, is required to generate 10,000 watts? Round to the nearest tenth.

5. Find the horizontal asymptote of the rational function. (Let y be the independent variable. If an answer does not exist, enter DNE.) F(x) = 6000 ( 1- (25/ (x+5)² )