Question
Does the relation { (-5,-3)(7,2)(3,8)(3,-8)(5,10)} represent a function ? Use the arrow diagram . Then explain your answer
Hint:
An ordered pair is represented as (INPUT, OUTPUT)
A function from set A to the set B is a relation which associates every element of a set A to unique element of set B.
The correct answer is: {-3 , 2 , 8 ,-8 ,10}
We have given the set of ordered pairs { (-5,-3)(7,2)(3,8)(3,-8)(5,10)}
Domain :- {-5, 7 , 3, 5}
Co- domain :- {-3 , 2 , 8 ,-8 ,10}
a) Arrow diagram of the given data is
![](data:image/png;base64,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)
b) From the given data we can analyse that the member in the domain set i.e. 3 has two images i.e. 8 and -8 in the co-domain
We know that in a function one member in the domain set cannot have two images in the co-domain set.
Therefore, the given relation is not a function.
b) From the given data we can analyse that the member in the domain set i.e. 3 has two images i.e. 8 and -8 in the co-domain
We know that in a function one member in the domain set cannot have two images in the co-domain set.
Therefore, the given relation is not a function.
All functions are relations but all relations are not functions.
Related Questions to study
For any real numbers a and b, if a = b, then b = a.
What is the name of the given property?
For any real numbers a and b, if a = b, then b = a.
What is the name of the given property?
An air cannon launches a T- shirt upward toward basketball fans. It reaches a maximum height and then descends for a couple seconds until a fan grabs it. Sketch the graph that represents this situation .
An air cannon launches a T- shirt upward toward basketball fans. It reaches a maximum height and then descends for a couple seconds until a fan grabs it. Sketch the graph that represents this situation .
An airplane takes 15 minutes to reach its cruising altitude. The plane cruises at that altitude for 90 minutes , and then descend for 20 min before it lands. Sketch the graph of the height of the plane over the time
An airplane takes 15 minutes to reach its cruising altitude. The plane cruises at that altitude for 90 minutes , and then descend for 20 min before it lands. Sketch the graph of the height of the plane over the time
Find the GCF (GCD) of terms of the given polynomial.
![negative 18 y to the power of 4 plus 6 y cubed plus 24 y squared](data:image/png;base64,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)
Find the GCF (GCD) of terms of the given polynomial.
![negative 18 y to the power of 4 plus 6 y cubed plus 24 y squared](data:image/png;base64,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)
A baker has already made 10 cakes . She can make the same number of cakes each hour , which she does for 5 hours. Sketch the graph of the relationship between the number of cakes made and time
A baker has already made 10 cakes . She can make the same number of cakes each hour , which she does for 5 hours. Sketch the graph of the relationship between the number of cakes made and time
How can you determine whether a relation is a function ?
Note:- Each value in the domain is also known as an input value, or independent variable. Each value in the range is also known as an output value, or dependent variable.
How can you determine whether a relation is a function ?
Note:- Each value in the domain is also known as an input value, or independent variable. Each value in the range is also known as an output value, or dependent variable.
Melody starts at her house and rides her bike for 10 minutes to a friend’s house. She stays at her friend’s house for 60 minutes. Sketch a graph that represents this description.
Melody starts at her house and rides her bike for 10 minutes to a friend’s house. She stays at her friend’s house for 60 minutes. Sketch a graph that represents this description.
Is the following relation forms a function ? Explain.
(49,13)(61,36)(10,27)(76,52)(23,52)
Note: All functions are relations but all relations are not functions.
Is the following relation forms a function ? Explain.
(49,13)(61,36)(10,27)(76,52)(23,52)
Note: All functions are relations but all relations are not functions.
Anu’s Mother drives to the gas station and fills up her tank. Then she drives to the market. Sketch the graph that shows the relationship between the amount of fuel in the gas tank of her car and time
Anu’s Mother drives to the gas station and fills up her tank. Then she drives to the market. Sketch the graph that shows the relationship between the amount of fuel in the gas tank of her car and time
When a new laptop became available in a store, the number sold in the first week was high. Sales decreased over the next two weeks and then they remained steady over the next two weeks. The following week, the total number sold by the store increased slightly. Sketch the graph that represents this function over the six weeks.
.
When a new laptop became available in a store, the number sold in the first week was high. Sales decreased over the next two weeks and then they remained steady over the next two weeks. The following week, the total number sold by the store increased slightly. Sketch the graph that represents this function over the six weeks.
.
Which of the given statements is NOT a result of Reflexive property?
Which of the given statements is NOT a result of Reflexive property?
Taylor has tracked the number of students in his grade since third grade. He records his data in the table below. Is the relation a function ? Explain.
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)
Note: All functions are relations but all relations are not functions.
Taylor has tracked the number of students in his grade since third grade. He records his data in the table below. Is the relation a function ? Explain.
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)
Note: All functions are relations but all relations are not functions.