Question
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.
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: { 726, 759 , 748 , 802 , 895 , 798 }
We have given the data in the tabular format of the Taylor’s data
We will convert it into point format
As (3,726) , (4, 759) , (5, 748) , (6, 802) , (7, 895) , (8 ,798)
Domain:- { 3, 4, 5 , 6 , 7 , 8}
Co- Domain:- { 726, 759 , 748 , 802 , 895 , 798 }
From the given data we can analyse that each element in the domain input set has exactly one output.
Therefore, the given data is a function.
All functions are relations but all relations are not functions.
Related Questions to study
What relationship between money (in$) and time (in M) does this graph show. Write a description of the given graph
What relationship between money (in$) and time (in M) does this graph show. Write a description of the given graph
Find the GCF (GCD) of terms of the given polynomial.
Find the GCF (GCD) of terms of the given polynomial.
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
Is the relation shown in the table a function ? Explain
All functions are relations but all relations are not functions.
Is the relation shown in the table a function ? Explain
All functions are relations but all relations are not functions.
Is the relation shown in the table a function ? Explain
All functions are relations but all relations are not functions.
Is the relation shown in the table a function ? Explain
All functions are relations but all relations are not functions.
Solve 0.14x + 0.12 = 0.35x − 2.4. Write a reason for each step.
Solve 0.14x + 0.12 = 0.35x − 2.4. Write a reason for each step.
Does the relation below shows represent a function ? Explain.
(-2,2)(-7,1) (-3,9)(3,4)(-9,5)(- 6,8)
Note: All functions are relations but all relations are not functions.
Does the relation below shows represent a function ? Explain.
(-2,2)(-7,1) (-3,9)(3,4)(-9,5)(- 6,8)
Note: All functions are relations but all relations are not functions.
The set of ordered pairs (1,19)(2,23) (3,23) (4,29)(5,31) represents the number of tickets sold to a fundraiser. The input values represents the day and the output values represents the number of tickets sold on that day.
a) Make an arrow diagram that represents the relation
b) Is the relation a function ? Explain.
Note: All functions are relations but all relations are not functions.
The set of ordered pairs (1,19)(2,23) (3,23) (4,29)(5,31) represents the number of tickets sold to a fundraiser. The input values represents the day and the output values represents the number of tickets sold on that day.
a) Make an arrow diagram that represents the relation
b) Is the relation a function ? Explain.
Note: All functions are relations but all relations are not functions.
The perimeter of a regular dodecagon is 108 . Find the length of each side.
The perimeter of a regular dodecagon is 108 . Find the length of each side.
Solve . Write a reason for each step.
Solve . Write a reason for each step.
Is the relation shown below a function ? Explain
(4,16)(5,25)(3,9)(6,36)(2,4)(1,1)
Note: All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain
(4,16)(5,25)(3,9)(6,36)(2,4)(1,1)
Note: All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain
All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain
All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain.
All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain.
All functions are relations but all relations are not functions.