To List: The ordered pairs in the relation pictured in each diagram. Is the relation is a function?
Answer to Problem 10OE
Ordered pairs are (1,3),(2,3),(3,2),(3,4),(4,3),(5,3).
Given relation is not 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.
(1,3),(2,3),(3,2),(3,4),(4,3),(5,3).
Here, the left oval denotes the domain and the right oval, the range. We can list ordered pairs by treating the left as our " x -coordinates" and the right as our " y -coordinates."
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= 3 theny =2 and y =4.
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Algebra and Trigonometry: Structure and Method, Book 2
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