Pre-Test. David s Bike Ride. Distance from Home (miles) Time (minutes) Chapter 1 Assessments Carnegie Learning

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Pre-Test Name Date. Hector knows there is a relationship between the number of cars he washes and the time it takes him to wash those cars. Identif the independent quantit and the dependent quantit in the problem situation. 2. David rode his bike to the park. After staing at the park for a few minutes, he then continued his ride to the grocer store. The graph shows this relationship. In the graph, what is the independent quantit and what is the dependent quantit? David s Bike Ride 0 Time (minutes) Distance from Home (miles) Chapter Assessments 8

Pre-Test page 2 3. Tell whether each graph represents a function. a. b.. Classif each function as increasing, decreasing, or constant. a. f() 5 3 b. f() 5 2 2, where is an integer c. f() 5 0. 9 d. f() 5 5 5. Classif each function as a linear function, a linear absolute value function, a quadratic function, or an eponential function. a. f() 5 27 b. f() 5 3 2 c. f() 5 2 d. f() 5 8 6. Determine whether each function has an absolute maimum or absolute minimum. If the graph has neither an absolute maimum nor an absolute minimum, write none. a. f() 5 2 b. f() 5 2 5 c. f() 5 5 2 2 d. f() 5 3 82 Chapter Assessments

Pre-Test page 3 Name Date 7. Create an equation and sketch a graph for each set of given characteristics. a. is a function b. is a function is quadratic is a linear absolute value function is continuous is discrete has an absolute minimum has an absolute maimum Chapter Assessments 83

8 Chapter Assessments

Post-Test Name Date. Angela knows there is a relationship between the area of the squares she draws and the side length of each square. Identif the independent quantit and the dependent quantit in the problem situation. 2. Sam rode in a hot air balloon. After the balloon began its initial descent, it staed in the air at a constant height for a few minutes, then it continued its descent to the ground. The graph shows this relationship. In the graph, what is the independent quantit and what is the dependent quantit? Sam s Hot Air Balloon Ride 0 Time (minutes) Height from Ground (feet) Chapter Assessments 85

Post-Test page 2 3. Tell whether each graph represents a function. a. b.. Classif each function as increasing, decreasing, or constant. a. f() 5 0. b. f() 5 2, where is an integer 5 c. f() 5 2 d. f() 5 7 5. Classif each function as a linear function, a linear absolute value function, a quadratic function, or an eponential function. a. f() 5 2 2 b. f() 5 0 c. f() 5 0. 5 d. f() 5 8( 2 2 ) 2 6. Determine whether each function has an absolute maimum or absolute minimum. If the graph has neither an absolute maimum nor an absolute minimum, write none. a. f() 5 2( 5 ) 2 2 8 b. f() 5 c. f() 5 3 5 d. f() 5 2 2 86 Chapter Assessments

Post-Test page 3 Name Date 7. Create an equation and sketch a graph for each set of given characteristics. a. is a function b. is a function is linear is eponential is discrete is continuous is increasing is decreasing Chapter Assessments 87

88 Chapter Assessments

End of Chapter Test Name Date. Brie knows there is a relationship between the grades on her math tests and the time she spends studing for those tests. Identif the independent quantit and the dependent quantit in this problem situation. 2. Tell whether each graph represents a function. a. b. c. d. Chapter Assessments 89

End of Chapter Test page 2 3. Identif the function famil of a graph that is made up of two straight lines, has an absolute maimum or absolute minimum, and has smmetr.. Classif each function as increasing, decreasing, or constant. a. f() 5 2 2 b. f() 5 25 c. f() 5 d. f() 5 6, where is an integer 5. Classif each function as a linear function, a linear absolute value function, a quadratic function, or an eponential function. a. f() 5 3 b. f() 5 2 2 c. f() 5 5( 2 2 ) 2 3 d. f() 5 3 6. Determine whether each function has an absolute maimum or absolute minimum. If the graph has neither an absolute maimum nor an absolute minimum, write none. a. f() 5 23 2 b. f() 5 0. 2 c. f() 5 2 3 d. f() 5 2 7. Sketch a graph of the given situation. Evan is the quarterback for his school s football team. In one of the pass routes he throws, the ball leaves his hand and is in the air for a few seconds. The ball reaches a maimum height of 2 feet off the ground. Then the ball lands in the receiver s arms. Height of Ball (feet) 0 Time (seconds) 820 Chapter Assessments

End of Chapter Test page 3 Name Date 8. Match each function to its graph. a. f() 5 2 2 b. f() 5 2 c. f() 5 d. f() 5 2 6 6 2 2 8 8 26 22 28 2 0 2 8 2 6 26 22 28 2 0 2 8 2 6 28 28 22 22 26 26 Graph A Graph B 6 6 2 2 8 8 26 22 28 2 0 2 28 22 26 8 2 6 26 22 28 2 0 2 28 22 26 8 2 6 Graph C Graph D Chapter Assessments 82

End of Chapter Test page 9. Write an equation and sketch a graph that: is linear, is continuous, is decreasing, and is a function. Equation: 0. Write a scenario to match each graph. Graph A Graph B Earnings (dollars) Time (hours) 0 Time (hours) 0 Rate Graph A: Graph B: 822 Chapter Assessments

End of Chapter Test page 5 Name Date. Sketch a graph with the given characteristics. is a function is quadratic is discrete has an absolute maimum Chapter Assessments 823

82 Chapter Assessments

Standardized Test Practice Name Date. Which characteristics best describe the graph? 8 6 2 28 26 2 22 0 2 22 2 26 28 6 8 a. is a function is discrete is eponential has an absolute minimum b. is a function is linear is continuous has an absolute minimum c. is a function is a linear absolute value function is discrete has an absolute maimum d. is a function is a linear absolute value function is continuous has an absolute maimum Chapter Assessments 825

Standardized Test Practice page 2 2. Which is a linear function? a. f() 5 2 2 b. f() 5 2 2 c. f() 5 2 2 d. f() 5 22 3. What is the classification of the function f() 5 5 2? a. linear absolute value function b. eponential function c. quadratic function d. linear function. Grissom draws different-sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the length of its diameter. What is the independent quantit in the situation? a. cost of Grissom s notebook b. length of diameter c. volume of sphere d. number of spheres Grissom draws 5. Sarah drove to the grocer store. She was at the grocer store for several minutes. Then Sarah drove back to her house. The graph shows this relationship. In the graph, what is the dependent quantit? Distance from Sarah s House (miles) 0 Time (minutes) a. grocer store b. Sarah s house c. time, in minutes d. distance from Sarah s house, in miles 826 Chapter Assessments

Standardized Test Practice page 3 Name Date 6. Which is a quadratic function? a. f() 5 23 b. f() 5 ( 2 ) 2 c. f() 5 ( 2 ) d. f() 5 2 2 0 7. Which graph does not represent a function? a. b. 3 2 3 2 2 23 22 2 0 2 3 2 23 22 2 0 2 3 2 2 22 22 23 23 2 2 c. d. 3 2 2 23 22 2 0 2 22 2 3 3 2 2 23 22 2 0 2 22 2 3 23 23 2 2 Chapter Assessments 827

Standardized Test Practice page 8. Which of the following descriptions is not true of an eponential function? a. It has an absolute minimum or maimum. b. It increases or decreases over the entire domain. c. Its graph is a smooth curve. d. It can be discrete or continuous. 9. Which best describes the behavior of the function f() 5 2 2 2? 3 a. It is constant. b. It is increasing. c. It is decreasing. d. It is both increasing and decreasing. 0. Kath has different-sized soup cans that are in the shape of a clinder. She knows there is a relationship between the surface area of each can and the length of its radius. What is the dependent quantit in the situation? a. volume of soup can b. height of clinder c. length of radius d. surface area of soup can. Which equation does not represent a function? a. 5 2 6 b. 5 2 2 3 c. 5 26 d. 5 2 9 2 2. Which statement about the function f() 5 2 3 is true? a. It has an absolute minimum. b. It has an absolute maimum. c. It has both an absolute minimum and an absolute maimum. d. It has an neither an absolute minimum nor an absolute maimum. 3. Which is an eponential function? a. f() 5 2 3 b. f() 5 2 c. f() 5 2 8 d. f() 5 2 9 828 Chapter Assessments

Standardized Test Practice page 5 Name Date. Which characteristics best describe the graph? 8 6 2 28 26 2 22 0 2 22 2 26 28 6 8 a. is a function b. is a function is eponential is eponential is discrete is continuous is increasing is decreasing c. is a function d. is a function is a linear absolute value function is a linear absolute value function is discrete is continuous is increasing is decreasing 5. Which describes the behavior of the function f() 5 2 3 5? a. It is constant. b. It is increasing. c. It is decreasing. d. It is both increasing and decreasing. 6. Which statement about the function f() 5 ( ) 2 2 is true? a. It has an absolute minimum. b. It has an absolute maimum. c. It has both an absolute minimum and an absolute maimum. d. It has an neither an absolute minimum nor an absolute maimum. Chapter Assessments 829

Standardized Test Practice page 6 7. Which is a constant function? a. f() 5 2 b. f() 5 3 2 c. f() 5 5 d. f() 5 2 8 8. What is the classification of the function f() 5 2( ) 2 7? a. absolute value function b. eponential function c. quadratic function d. linear function 9. Carlos walked from his house to school. He was at school for several hours. Then on his wa home, Carlos walked to the librar. He was at the librar for an hour. Then he walked back to his house. The graph shows this relationship. In the graph, what is the independent quantit? Distance from Carlos s House (miles) 0 Time (hours) a. name of his school b. section of books at the librar c. time, in hours d. distance from Carlos s house, in miles 830 Chapter Assessments

Standardized Test Practice page 7 Name Date 20. Which graph represents a function? a. b. 3 2 3 2 2 23 22 2 0 2 2 3 2 23 22 2 0 2 2 3 22 22 23 23 2 2 c. d. 3 2 3 2 2 23 22 2 0 2 2 3 2 23 22 2 0 2 2 3 22 23 2 22 23 2 Chapter Assessments 83

832 Chapter Assessments