To find:the domain and range of the relation in the graph, whether the relation is a function or not.
Answer to Problem 18OE
The relation is not function, the domain and range of the relation are
Explanation of Solution
Result used:
Vertical line test:
A relation is a function if and only if no vertical line intersects its graph more than once.
Interpretation:
In the given graph, the vertical lineat
That is, the graph cannot satisfy vertical line test at
Therefore, the relation is not a function.
For all values of x from
Thus, the domain of the relation is
Suppose draw the horizontal line for all values of y , the horizontal line intersects the given graph.
Thus, the range of the relation is set of all real numbers.
That is, the domain and range of the relation are
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