To Find:The domain of the relation and draw its graph .Is relation is a function.
Answer to Problem 11WE
The domain of the given relation is {-2,-1,0,1,2}.
The relation is not function.
Explanation of Solution
Given information:Given relation is
Calculation:
Since
Now, if x =-2 then y =0 ; if x =-1, then y =1 or -1 ; if x =0, then y =2 or -2; if x =1 then y =1 or -1 ; and finally if x =2, then y =0 .So we have the following set of points:
(-2,0),(-1,1),(-1,-1),(0,2),(0,-2),(1,1),(1,-1),(2,0).
Domain is {-2,-1,0,1,2} and range is {-2,-1,0,1,2}
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 using the points of the relation.
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