Indicate the answer choice that best completes the statement or answers the question.

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1 Indicate the answer choice that best completes the statement or answers the question. 1. What is are the domain and range of the relation {( 5, 3), ( 6, 4), (7, 2), ( 2, 2)}? a. Domain: { 5, 6,7} Range: { 3,4, 2,2} b. Domain: { 3,4, 2,2} Range: { 5, 6,7, 2} c. Domain: { 5, 6,7, 2} Range: { 3,4, 2,2} d. Domain: { 5, 6,7, 2} Range: { 3,4, 2} 2. Find the function value. f( 4) if f(x) = 11x + 7 a. 81 b. 51 c. 33 d Find the function value. f(4) if f(x) = 12x 1 a. 8 b. 36 c. 47 d. 48 Complete each function table. 4. f(x) = 4x + 4 x f(x) a. f(x) = { 20, 8, 4, 36} b. f(x) = { 28, 8, 4, 28} c. f(x) = {28, 8, 4, 28} d. f(x) = { 20, 0, 12, 36} Powered by Cognero Page 1

2 Graph each function. 5. a. b. c. d. 6. a. b. Powered by Cognero Page 2

3 c. d. 7. a. b. c. d. Powered by Cognero Page 3

4 8. a. b. c. d. Write a function to represent the situation. Then determine if the function is continuous or discrete. 9. There are 16 crayons in each box. Let x represent the number of boxes of crayons and let y represent the total number of crayons. a. y = 16x, Continuous b. y = 16x, Discrete c. y =, Continuous d. y =, Discrete Find the slope of the line that passes through each pair of points. 10. A( 2, 1), B( 1, 1) a. b. c. d. Powered by Cognero Page 4

5 Use the make a table strategy. 11. Allied Plumbing charges $45 per service call plus $30 per hour. Ajax Plumbing charges $60 per service call plus $25 per hour. How many hours would a service call have to last in order for the total cost of each company to be the same? a. 3 hours b. 4 hours c. 5 hours d. The total cost would never be the same. 12. The function d = 55t, where d is the distance in miles traveled in t hours, represents the speed of a semi truck. The speed of an SUV is shown in the table. Assume that the relationship between the two quantities is linear. SUV Hours Miles Compare the functions rates of change. a. The rate of change for the semi truck is 12 miles per hour greater than the rate of change for the SUV. b. The rate of change for the SUV is 12 miles per hour greater than the rate of change for the semi truck. c. The rate of change for the SUV is 8 miles per hour less than the rate of change for the semi truck. d. The rate of change for the semi truck is the same as the rate of change for the SUV. Determine whether the graph or table represents a linear or nonlinear function. 13. a. nonlinear b. linear Powered by Cognero Page 5

6 14. The graph shows the cost of one pound of apples at a grocery store. Find the slope of the line. a. b. c. d. 15. The table below shows the relationship between the number of minutes y it takes a racecar to complete a lap x on a race track. Laps (x) Minutes (y) What is constant rate of change? a. 5 laps per minute b. 3 laps per minute c. 10 laps per minute d. 15 laps per minute Powered by Cognero Page 6

7 16. Find the slope of the line. a. b. c. d. Determine whether the graph or table represents a linear or nonlinear function. 17. x y a. nonlinear b. linear 18. The table shows the time taken for knitting dresses. Use the information to find the constant rate of change in number of dresses per day. Number of dresses Time taken (days) a. 42 dresses per day b. 10 days per dress c. 7 dresses per day d. 11 dresses per day Powered by Cognero Page 7

8 19. The function represents a promotional Plan A where s is the number of points earned for m dollars spent, with a bonus 25 points earned for starting the plan. Promotional Plan B is shown in the table. Assume that the relationship between the two quantities is linear. Plan B Dollars Spent Points Earned Compare the functions rates of change. a. The rate of change for Plan A is 3 points per dollar greater than the rate of change for Plan B. b. The rate of change for Plan A is 3 points per dollar less than the rate of change for Plan B. c. The rate of change for Plan B is 3 times greater than the rate of change for Plan A. d. The rate of change for Plan B is the same as the rate of change for Plan A. Write a function to represent the situation. Then determine if the function is continuous or discrete. 20. A plumbing service costs $32.50 per hour of work. Let x represent the amount of time that a job takes and let y represent the total cost. a. y = 32.5x, Discrete b. y = 32.5x, Continuous c. y =, Continuous d. y =, Discrete 21. Find if. Indicate the answer choice that best completes the statement or answers the question. Complete each function table. 22. f(x) = 3 + 6x x f(x) a. f(x) = { 33, 3, 9, 39} b. f(x) = {27, 15, 9, 45} c. f(x) = { 27, 15, 9, 45} d. f(x) = { 33, 21, 3, 39} Powered by Cognero Page 8

9 23. Write an equation in slope-intercept form for the graph shown. Indicate the answer choice that best completes the statement or answers the question. 24. The amount of money that Justin earns is directly proportional to the number of hours that he works. How much does Justin earn per hour? a. $0.50 per hour b. $12 per hour c. $7 d. $6 per hour 25. Graph y = x 2 2. Powered by Cognero Page 9

10 26. Miguel and Molly are cyclists. The graph shows the distance Miguel biked one day. Molly biked at a rate of 0.15 mile per minute. Which statement about their speeds is true? a. Molly s speed was the same as Miguel s speed. b. Molly s speed was greater than Miguel s speed. c. Miguel traveled 0.2 mile per minute. d. Miguel traveled 0.1 mile per minute. 27. What are the slope and y-intercept for the graph of y 7x = 10? a. slope: 7, y-intercept: 10 b. slope: 7, y intercept: -10 c. slope: 7, y-intercept:10 d. slope: 7, y intercept: Which table represents a linear function? a. b. c. d. Powered by Cognero Page 10

11 Name: Class: Date: Unit 4 Summative Assessment Powered by Cognero Page 11