Station State whether the following represent discrete or continuous graphs. Sketch a graph to represent the situation. Label each section.

Transcription

1 Station 1 1. Describe the relationship between the variables. 2. State whether the following represent discrete or continuous graphs. Sketch a graph to represent the situation. Label each section. a. The temperature warms up during the day and then decreases at night. Continuous. You can have half an hour or half a minute. b. You buy two shirts. The third one is free. Discrete. You cannot buy half a shirt. As time increases, the volume of the pool water increases (i.e. The pool is getting filled with water. 3. Graph each function rule. Explain your choice of intervals on the axes of the graph. Tell whether the graph is continuous or discrete. Explain. a. The cost C, in dollars, for a health club membership depends on the number m of whole months you join. This situation is represented by the function rule C = m. Discrete. Since the gym will only allow you to enroll for full months, you cannot purchase half a month. b. The cost C, in dollars, for bananas depends on the weight w, in pounds, of the bananas. This situation is represented by the function rule C = 0.5w. Continuous. You can have half a pound of ban

2 Station 2 Use the following functions to answer the questions below. b(x) = 3 2x c(x) = 2x 1. b(2) 2. c(3) b(6) 3. 2 c(5) 4. c(p + q) 5. b(x) = Write the following as a coordinate: f (2) = 6 Answer the following questions using the graph below. 7. f (1) = 8. f (5) = 9. f (x) = f (x) = 0

3 Station 3 For each table, determine whether the relationship is a function. Then represent the relationship using words, an equation, and a graph For every hour, the distance increases 55 miles. 3. You can make a bubble solution by mixing 1 cup of liquid soap with 4 cups of water. a. Represent the relationship between the cups of liquid soap and the cups of bubble solution made using a table, an dequation, and a graph. b. Is the amount of bubble solution made a function of the amount of liquid soap used? Explain. Yes, it is a function. The x's do not repeat. If graphed, would pass VLT 4. Determine if the following are functions. Explain your reasoning. a. b. For every 10 minutes, you burn 50 additional calories OR You burn 5 calories per minute. c. d.

4 Station 4 Identify the domain and range of the following problems. 1. {(3, 6), (5, 7), (7, 7) (8, 9)} f (x) = x +1 for 1 x 1 4. y = x for x = { 2,5,7}

5 Station 5 Answer the questions below. Write your answers in complete sentences where it asks you to explain or describe. 1. Joe had a summer job that pays $7 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modeled by the equation s(h) = 7h, where s is his weekly salary and h is the number of hours he worked in a week. a. Identify the independent and dependent variable. b. Does this situation represent a discrete or continuous graph? Explain. c. Describe the association between the two variables. d. Identify the domain and range for this problem using appropriate notation. e. What does each value in the ordered pair (20, 140) mean in the context of this problem? Continuous, you can work half an hour. As the number of hours that you work increases, you salary also increases. Independent- #hours worked (h) Dependent- $weekly salary (s) If you work 20 hours in a week, you will earn $ Hector s service club is raising money by wrapping presents in the mall. The function f (x) = 2x describes the amount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 100 presents. a. Identify the independent and dependent variable for this problem. b. Does this situation represent a discrete or continuous graph? Explain. c. Describe the association between the two variables. d. Identify the domain and range for this problem using appropriate notation. Independent- number of presents (x) Dependent - money earned (y) Discrete, you can't wrap half a present. As the number of presents increases, the amount of money earned increases.