If any two ordered pairs have the same ____-coordinates but different ____-coordinates, therelation is not a function.Examples:1. {(3 , 1), (2 , 3), (1 , 5)}This relation _______is _______is not a function.→ Every value of x corresponds to: _______only one _______ more than one value of y.2. {(−1 , 4), (−2 , 5), (−2 , 3)}Here x = ____ is associated with two y values, ____ and ____.This relation _______is _______is not a function.
Question
If any two ordered pairs have the same ____-coordinates but different ____-coordinates, therelation is not a function.Examples:1. {(3 , 1), (2 , 3), (1 , 5)}This relation _______is _______is not a function.→ Every value of x corresponds to: _______only one _______ more than one value of y.2. {(−1 , 4), (−2 , 5), (−2 , 3)}Here x = ____ is associated with two y values, ____ and ____.This relation _______is _______is not a function.
Solution
If any two ordered pairs have the same x-coordinates but different y-coordinates, the relation is not a function.
Examples:
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{(3 , 1), (2 , 3), (1 , 5)} This relation is a function. → Every value of x corresponds to only one value of y.
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{(−1 , 4), (−2 , 5), (−2 , 3)} Here x = -2 is associated with two y values, 5 and 3. This relation is not a function.
Similar Questions
We can determine whether a relation is a function by looking at itsgraph.→ No ______ points on the graph can have the same __-coordinate(lie on the same __________________ line).→ If a __________________ line drawn on the graph of any functiontouches two points, then the graph does not representa function. (called the ____________________ line test)❖ The only type of straight line that graph fails the vertical line test is a __________________ line.
Suppose you are given the relation {(1 , 2), (3 , 4), (5 , 6)}. What is an ordered pair that you could add to thisrelation to make it not a function? Why would this ordered pair make the relation not a function?
Which set of ordered pairs does not represent a function? A (4, 1), (6, 2), (7, 5), (9, 2) B (0, 5), (1, 7), (2, 9), (3, 11) C (−2, 5), (0, 2), (9, −6), (8, 7) D (5, 5), (6, 10), (10, 15), (5, 20)
Which of the following sets of ordered pairs represents a function?{(-1,4),(1,4),(2,4),(-2,4)}{(-2,1),(-1,3),(2,1),(-2,2)}{(2,2),(3,3),(4,4),(2,1)}{(-1,3),(-1,4),(-1,5),(-1,6)}
A relation is defined by the points (1, 4), (3, -1), (-1, -2), and (1, -3).The points (____ , ____) and (____ , ____) have the same _______x_______y-coordinate, ____, butdifferent _______x_______y-coordinates, ____ and ____.This relation _______is _______is not a function because there______is no x-value _______ is one x-value _______ are two x-valuescorresponding to multiple y-values.
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