\f2. Consider two given points A and B, with coordinates A(4,-5) and B(-2,3) (8 marks) a) Plot the points on the given grid. Calculate the length of the line segment from A to B. Length: b) Find the equation of the circle that has the line segment AB as its diameter. Then sketch the graph of the circle on the given grid. Equation of Circle: 3. A private airplane leaves an airport and flies due east at 180 km/h. Two hours later, a jet leaves the same airport and flies due cast at 900 km/h. Setup and solve the relevant equations to determine at what distance to the airport the jet will overtake the private plane. /8 marks]4. A cannonball fired out to sea from a shore battery follows a path given by the equation ((x) = 10x -001x , where /(x) is the height of the cannonball above the water when it has travelled a horizontal distance of x feet. [& marks] a) How far does the cannonball travel horizontally before splashing into the water? b) What is the maximum height the cannonball reaches? 5. A manufacturer of graphing calculators has found that 10,000 calculators per week can be sold at a price of $95. It is estimated that if the price was $90, then 12,000 calculators per week could be sold. /8 marks] a) Determine a linear function that relates the pricep of calculators to the amount * that can be sold per week. b) Use this model to predict the number of calculators that will be sold each week if the price was $75.6. Given the graph of the function J' = / (X) shown to the right, sketch a graph of the function a) y= -f(x) +1 bj y = f (x - 2) . As part of your answer, briefly describe, in your own words, how you obtained your graph from the given / (x) . (8 marks] y = -f(x)+1 y = S(x -2) -5 7. If f(x) = 5-X and g(x) = x- - 3, calculate/find: /6 marks) a) f(g(3)) big(x +1) - g(1)8. Sketch the graph of the following function, and state its domain and range. /6 marks) [-2x -3 if x