a The domain is all possible inputs of a relation.
B
b The range is all possible outputs of a relation.
C
c A function is a type of relation in which there is only one output value for each input value.
A
a False.
B
b True.
C
c False.
a We have a table showing the relation of comic books sold and the total price for the comics.
Number of comic books sold, x
Price ($), y
1
5
2
6
2
8
4
12
Recall that the domain is all possible inputs of a relation. We can see above that the only possible inputs are 1, 2, and 4. Therefore, the domain is not all real numbers, and thus the statement is false.
Domain: {1,2,4}
b We want to determine now whether the range is {5,6,8,12}. Recall that the range is all possible outputs of a relation. Consider the given table.
Number of comic books sold, x
Price ($), y
1
5
2
6
2
8
4
12
We can see above that the outputs are 5, 6, 8, and 12. Thus, the statement is true.
Range: {5,6,8,12}
c Finally, we want to determine whether or not the relation is a function. Recall that a function is a type of relation in which there is only one output value for each input value. Let's consider the table one more time.
Number of comic books sold, x
Price ($), y
1
5
2
6
2
8
4
12
We can see above that the input 2 has two output values, which are 6 and 8. Therefore, the relation is not a function, and thus the statement is false.
