1. Write a set of ordered pairs represented by the mapping diagram shown.
A. {(14,7), (28,14), (21,42), (52,28), (35,52)}
B. {(7,14), (28,14), (21,42), (52,28), (35,52)}
C. {(14,7), (28,14), (42,21), (52,28), (52,35)}
D. {(7,14), (14,28), (21,42), (28,52), (35,52)}
2. Draw a mapping diagram of the ordered pairs {(3,17), (5,19), (7,19), (11,23), (13,29)}.
3.
a. Draw a mapping diagram which represents the relation {(1,6), (2,5), (2,7), (7,9), (4,10), (1,1)}.
b. Is the relation a function?
4. Does the relation {(5,−2), (5,−8), (4,−6), (7,−1)} represent a function?
5.
a. Draw a mapping diagram of the relation shown.
b. Is the relation a function?
6. Is the relation shown in the table a function?
7. Is the graph that of a function?
8.
a. Writing Write a set of ordered pairs is represented by the mapping diagram.
b. Describe the relation.
9. Reasoning Does the relation {(−2,2), (−7,1), (−3,9), (−8,4), (−9,5), (−6,8)} represent a function? Explain your reasoning.
10. Error Analysis On a recent math test, students had to use a graph to decide if the relation represented by the ordered pairs {(1,2), (6,12), (12,24), (18,36)} is a function. Bobby drew the graph shown and said the relation was not a function. Part of his answer was incorrect.
a. Draw a graph which represents the relation.
b. Is the relation a function?
c. What error did Bobby most likely make?
A. Bobby drew the incorrect graph. The correct graph of the relation is a function. Bobby's graph is not a function.
B. Bobby drew the incorrect graph. The correct graph of the relation is not a function. Bobby's graph is a function.
C. Bobby drew the correct graph but said that the relation was not a function. The relation is a function.