Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follo %3D For every (x, y) E A × B, (x, y) E U means that y – x > 2, (x, y) E V means that y – 1 and 2 W = = {(2, 5), (4, 1), (2, 3)}.

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Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 64E
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Let 
A = {2, 4}
 and 
B = {1, 3, 5}
 and define relations UV, and W from A to B as follows.
For every 
(x, y) ∈ A ✕ B,
  • (xy) ∈ U means that 
    y − x > 2,
  • (xy) ∈ V means that 
    y − 1 = 
    x
    2
    ,
     and
  • W = 
     
    (2, 5), (4, 1), (2, 3)
     
    .
    Indicate whether any of the relations UV, and W are functions. (Select all that apply.)
    U is a function.V is a function.W is a function.None of the relations are functions.
Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows.
%3D
For every (x, y) E A × B,
(x, y) E U means that y – x > 2,
(x, y) E V means that y – 1
and
2
W =
= {(2, 5), (4, 1), (2, 3)}.
Transcribed Image Text:Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows. %3D For every (x, y) E A × B, (x, y) E U means that y – x > 2, (x, y) E V means that y – 1 and 2 W = = {(2, 5), (4, 1), (2, 3)}.
Indicate whether any of the relations U, V, and W are functions. (Select all that apply.)
O U is a function.
O V is a function.
O W is a function.
O None of the relations are functions.
Transcribed Image Text:Indicate whether any of the relations U, V, and W are functions. (Select all that apply.) O U is a function. O V is a function. O W is a function. O None of the relations are functions.
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