To List: The ordered pairs in the relation pictured in each diagram. Is the relation is a function?
Answer to Problem 7OE
Ordered pairs are (0,1),(0,2),(0,3),(0,4).
Relation is a 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.
(0,1),(0,2),(0,3),(0,4).
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 a vertical line not a function.
The relation is not function since for some x -values, there are more than one corresponding y- value. For example, when x= 0, y is 0,1,2 ,3 or 4.
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Algebra and Trigonometry: Structure and Method, Book 2
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