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)
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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)
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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)
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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)
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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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