To Find:The domain of the relation and draw its graph .Is relation is a function.
Answer to Problem 9WE
The domain of the given relation is {0,1,2,3}.
The relation is not function.
Explanation of Solution
Given information:Given relation is
Calculation:
First of all ,
The domain is x ={0,1,2,3}.
x is never less than 0 because the absolute value of something is always
So, if x=y we have following set of points(0,0),(1,1),(2,2),(3,3) ; if x=-y we have the following set of points(0,0),(1,-1),(2,-2),(3,-3).
So, the domain of the given relation is {0,1,2,3}.and the range is {-3,-2,-1,0,2,1,3}.
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.
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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