MCF3M: Chapter 3 Summative Evaluation Name: Date: Answer the following questions to the best of your abilities. Show all of your thinking. You may use a calculator, but no phones allowed. Good luck! 1. For the quadratic function : a) Determine the zeroes of the function. (3 marks) b) Determine the equation of the axis of symmetry. (2 marks) c) Determine the coordinates of the vertex. (2 marks) 2. Determine the zeroes of the following functions (3 marks): a) b) 3. The following is the graph of : Using the graph of x), solve the equation . : (2 marks) 5. The graph below shows data that can be modelled using a quadratic function: 'lU 3) Sketch a curve of best t that . . . i x models this data appropriately. (I i mark) ' l l 4910 -5 o 5 1o b) When does the curve of best t cross the xaxis? (I mark) 0) Using your curve of best t, determine an appropriate equation in factored form that models this data. (3 marks) 7. The prot an electronics company can make is modelled by the function , where P(x) is the prot in millions of dollars, and x represents the number of thousands of phones produced by the company. a) How many phones does the company need to produce to make its maximum prot? (2 marks) b) What is the company's maximum prot, in dollars? (2 marks) 7. The height of a rocket can be modelled by the mction , where Mr) is the height of the rocket above the ground in metres, and t represents the time in seconds since the rocket was launched. a) When does the rocket hit the ground? (4 marks) b) Determine the time value(s) at which the rocket reaches a height Of30 m' (4 marks) Chapter 3 Summative 7. The height of a rocket can be modelled by the function , where Mt) is the height ofthe rocket above the ground in metres, and t represents the time in seconds since the rocket was launched. a) When does the rocket hit the ground? (4 marks) b) Determine the time value(s) at which the rocket reaches a height of 30 ml (4 marks) 8. Determine the equation of the function with x-intercepts (2, 0) and (-1, 0) that passes through the point (1, 8). (3 marks) How do you think this went? (circle one): Great / 0K / Not Sure / Bad Page 2 of 4 Open Office E13