To Find:The domain of the relation and draw its graph .Is relation is a function.
Answer to Problem 7WE
The domain of the given relation is {-1,0,1}.
The relation is not function.
Explanation of Solution
Given information:Given relation is
Calculation:
First of all ,
So, if y=x we have following set of points (-1,-1),(0,0)(1,1) ; if y=-x we have the following set of points(1,-1),(0,0),(-1,1).
So, the domain of the given relation is {-1,0,1}.
The relation is not function since for some x -values, there are more than one corresponding y- value. For example, when x= 1, y is either 1 or -1.
Sketch the graph of the given relation.
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Algebra and Trigonometry: Structure and Method, Book 2
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