1. Find the slope - intercept form of the equation of the line perpendicular to 3x - 6y = 1 that passes through the point (1, 4). 2. Given the function: f(x) = x2 + 3x - 12, find each of the following difference quotients. a) I (x)-f(3) I(x+7) -f(x) x-3 7 3. If f(x) = x2 + 3 and g(x) = x - 4 then find: a ) f ( 6 ) c) ( fog) (x) b ) (f + 8 ) (1 ) d) (8. f) (-2)4. Find all of the asymptotes and holes of each rational function below. a) s(x) b) / (x) -0 - 2x X- x - 20 3 - X 5. Solve each equation below. If you solve by graphing, draw a picture of the graph and label the solutions on the graph. a) x + 9x + 14 = 0 b) 2x2 - 3x = 8 6. A sand bag is dropped from a hot air balloon and falls according to the equation h = -16t2 - 30t + 200 where t is time in seconds and h is height in feet. a) How high is the sand bag after 2 seconds? b) How long does it take the sand bag to reach the ground?2x x5-2 7. Given: f(x) =x3-1 -24 a) graph f(x) b) Find f(-1) -10 10 () Find f(4) d) Find f(5) e) Find x when f(x) = 5 - 10