Check Understanding 1. Consider the relation {(1. 6), (3. 4), (2. 6), (5. 4), (3. 9'), (2, 7)}. A. Create a mapping diagram for the ordered pairs. \"'hat are the domain and range? B. Is this relation a function? Explain why or why not. 2. Does the y-axis represent a function? Explain. 3. For any function f, what does the value of O] represent graphically? 4. The function AU] 2 500 + 5! represents the amount A, in dollars. of an investment, where ris the time in months. A. What does A[2) represent? B. Find 11(2). On Your Own 5. Explain how the vertical line test is used to determine if the graph of a relation is a function. 6. Create a graph ofa relation that is a function and a graph ofa relation that is not a function. Be sure to include the reasoning you used to generate each graph. Determine whether each relation is a function. 7. (3.2),(1.2),(4.3),(6.2) s. (1,1),(2,2).(3,2).(2,3) For each function, ndI),1),and3). 9- fix) 2 3x 4 10. for) = 4 11. The cost C. in dollars, ofa large pizza with t toppings is modeled by the function (EU) 2 10.95 + t. A. What do C(0) and (3(2) represent? B. Find C(0} and C(2). C. Graph the function with an appropriate domain for this realworld situation. Is the domain of the function all real numbers? Explain. 12. The remaining number of socks S a store has is modeled by 8(p) 14 2p. where p is the number of pairs of socks sold. Pizza ltaliano A. What do 8(0) and 8(6) represent? 3. Find 8(0) and 8(6). , Large cheese pizza C. Graph the function with an appropriate domain for this I $10.95 realworld situation. Is the domain of the function all I ' Toppings real numbers? Explain. "-'- $1 '00 each 100 For each relation, create a mapping diagram and give the domain and range. 13. {(2. o). (5, 2). (a, -5),(7,3),(3,1)} 14. {(3. 4). (6. 4). (1. 2). (a. s). (6, 5)} 15. Determine if the relations in Problems 13 and 14 are functions. Explain your reasoning. Use the vertical line test to determine whether each graph represents a function. 16. 17. 25. Reason A new movie is released and shown in a local theater. Let p(t) be the number of people, in thousands, who see the movie tdays after the movie is released. A. 15;: a function? Explain your reasoning. B. What does p00) 2 12 mean? C. What does p(10)