The graph correctly models this relationship. On each day, you can receive numerous emails but the domain is the set of whole numbers so the graph con...
SOLUTION: The x-value is the number of hours the car travels. Since this domain can be any value that is greater than or equal to 0 the graph of the function is a straight line Extend 2-1 Extend Algebra Lab: Discrete and Continuous Functions so it is continuous. Determine whether each function is correctly modeled using a discrete or continuous function. Explain your reasoning.
4. y represents the total number of riders who have ridden on a roller coaster after x rides. SOLUTION: Since the number of rides is the x-value, it is the domain. A rider cannot take half of a roller coaster ride. The domain is the set of whole numbers, so the graph of the function consists of individual points so it is discrete. 5. WRITING IN MATH Give an example of a realworld function that is discrete and a real-world function that is continuous. Explain your reasoning.
1. SOLUTION: Continuous; there can be measures of weight that are not integers. The graph is correctly modeled since as the number of kilograms increases, the conversion to pounds increases as well. The graph represents that fractions of kilograms can be converted to pounds so the graph is a straight line.
SOLUTION: Sample answer: A function describing the cost y of x football tickets is discrete because only whole-number values make sense for the domain, the number of tickets. A function describing the cost y of x pounds of grapes is continuous because the domain, the pounds of grapes, is the set of values greater than or equal to 0.
2. SOLUTION: Discrete; you cannot receive a fraction of an e-mail. The graph correctly models this relationship. On each day, you can receive numerous emails but the domain is the set of whole numbers so the graph consists of a set of ordered pairs. 3. y represents the distance a car travels in x hours. SOLUTION: The x-value is the number of hours the car travels. Since this domain can be any value that is greater than or equal to 0 the graph of the function is a straight line so it is continuous. 4. y represents the total number of riders who have ridden on a roller coaster after x rides. SOLUTION: Since the number of rides is the x-value, it is the eSolutions Manual - Powered by Cognero domain. A rider cannot take half of a roller coaster ride. The domain is the set of whole numbers, so the graph of the function consists of individual points so it
