To find:the domain and range of the relation in the graph,whether the relation is a function or not.
Answer to Problem 17OE
The relation is a function,the domain and range of the functions 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, suppose draw the vertical line for all values of x , then the vertical line intersects exactly one point of the graph.
That is, the graph satisfied vertical line test for all values of x .
Therefore, the relation is a function and the domainis theset of all real numbers.
Suppose draw the horizontal line for all values of y from
That is, the range of the function is
Therefore, the domain and range of the functions are
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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