While shopping online for AA batteries, Masoud found that he could order a pack of 8 batteries for
What is the domain and range of the relation?
Express the relation as a set of ordered pairs.
Express the relation as a mapping.
Express the relation as a graph.
(a)
The range and domain of a relation, where the relation is defined using number of batteries as input and price as output, with the data Masoud could order a pack of 8 batteries at
Answer to Problem 1RE
Solution:
The domain of the relation is
The range of the relation is
Explanation of Solution
Given Information:
Masoud could order a pack of 8 batteries at
Explanation:
The relation is defined as the number of batteries as input and price as output.
The domain is a set of inputs for relation.
Here, the number of batteries is an input for relation.
Therefore, the domain is
The range is a set of outputs for relation.
Here, price is an output for relation.
Therefore, the range is
(b)
The relation as a set of order pairs, where the relation is defined using the number of batteries as input and price as output, with the data Masoud could order a pack of 8 batteries at
Answer to Problem 1RE
Solution:
The relation as set of order pairs is
Explanation of Solution
Given Information:
Masoud could order a pack of 8 batteries at
Explanation:
A set of order pairs consists of input, number of batteries, as first coordinate and output, price, as second coordinate.
In the relation
Therefore, the relation as a set of order pairs is
(c)
The relation as mapping, where the relation is defined using the number of batteries as input and price as output, with the data Masoud could order a pack of 8 batteries at
Answer to Problem 1RE
Solution:
The mapping is given by
Explanation of Solution
Given Information:
Masoud could order a pack of 8 batteries at
Explanation:
For mapping, consider
Thus, the mapping is:
(d)
To graph: A scatter plot of a relation, where the relation is defined using the number of batteries as input and price as output, with the data Masoud could order a pack of 8 batteries at
Explanation of Solution
Given Information:
Masoud could order a pack of 8 batteries at
Graph:
The scatter plot of given data is:
Interpretation:
The scatter plot represents thenumber of batteries as the independent variable and price in dollars as the dependent variable.
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