Page 12 - E booklet prep 3 bader 2025 b_Neat

Example 1:

If X = { 2 , 3 , 4 } , Y = { 2 , 3 , 4 , 5 , 6 , 7 , 8 } and R is a relation from X to Y
where aRb means : " a =?? b " for each a ? X , b ? Y write and represent R in

??

an arrow diagram show that R is a function from X to Y and find its range.
R={{2,4),(3,6),(4,8)}
Function
Range = { 4 , 6 , 8 }

Example 2:

If X = { 1, 3 , 4 , 5 } , Y = { 1 , 3 , 4 , 5 , 6 } and R is a relation from X to Y
where aRb means : " a + b = 7 " for each a ? X , b ? Y write and represent R
in an arrow diagram , show that R is a function ? write its domain and its
range
R={{1,6),(3,4),(4,3) }
Not Function

Example 3:

1) If X = { 1 , 2 , 3 } , Y = { 1 , ?? , ?? , ?? } and R is a relation from X to Y where

?? ?? ??

aRb means : " a is multiplicative inverse of b " for each a ? X , b ? Y write
and represent R in an arrow diagram
Is R is a function ? why ?

?? ??

R = { { 1 , 1 ) , ( 2, ?? ) , ( 3 , ?? ) }
Function , because each element on x has one image

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