To List: The ordered pairs in the relation pictured in each diagram. Is the relation is a function?
Answer to Problem 13OE
Ordered pairs are (-2,4),(-1,3),(0,2),(1,1),(2,0),(1,-1),(0,-2),(-1,-3),(-2,-4).
Given relation isnot a function.
Explanation of Solution
Given information:Given relation is given in below picture.
Calculation:
From thegiven picture of the relation the ordered pairs are given below.
(-2,4),(-1,3),(0,2),(1,1),(2,0),(1,-1),(0,-2),(-1,-3),(-2,-4)
Sketch the graph of the relation by using its all ordered pair is given below.
So, it is clear from the graph ,the given relation is not a function because there is a vertical line intersects the graph that is for each x value there is more than one y value for example when x= 0 theny =2 and y =-2.
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Algebra and Trigonometry: Structure and Method, Book 2
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