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Graph each set of ordered pairs. State the domain and range of each relation. Determine whether each set is a function.
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To calculate: The domain and range of relation
Answer to Problem 1RE
Solution:
The domain and range of relation are
Explanation of Solution
Given:
The provided relation is
Calculation:
Domain of a relation is the set of all first coordinates of ordered pairs.
Therefore, the domain of relation
Range of a relation is the set of all second coordinates of ordered pairs.
Therefore, the range of relation
A function is a set of ordered pair in which no two ordered pair have the same first coordinate and different second coordinate.
Since, the provided relation
Therefore, the provided relation is a function.
Graph:
The tabular form of the relation
x | y |
0 | 0 |
1 | 1 |
-2 | -2 |
Therefore, the sketch for the relation
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