Let X = {2, 4, 6} and Y = {a, b, c, d). Define g: X→ Y by the following arrow diagram. g Y 2 a 00 b с 6 d X Answer the True- False questions based on the function g defined by the arrow diagram. The domain of this function is {2, 4, 6}. True False The codomain of this function is {b}. True False The range of this function is {b}. True False This function is one-to-one. O True False This function is onto. O True O False The pre-image of c is the empty set. True False

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let X = {2, 4, 6} and Y = {a, b, c, d). Define g: X→ Y by the following arrow diagram.
X
4
g
6
Y
Ä
a
b
с
d
Answer the True- False questions based on the function g defined by the arrow diagram.
The domain of this function is {2, 4, 6}. True False
The codomain of this function is {b}. True False
The range of this function is {b}. True False
This function is one-to-one. O True False
This function is onto. O True False
The pre-image of c is the empty set. O True False
Transcribed Image Text:Let X = {2, 4, 6} and Y = {a, b, c, d). Define g: X→ Y by the following arrow diagram. X 4 g 6 Y Ä a b с d Answer the True- False questions based on the function g defined by the arrow diagram. The domain of this function is {2, 4, 6}. True False The codomain of this function is {b}. True False The range of this function is {b}. True False This function is one-to-one. O True False This function is onto. O True False The pre-image of c is the empty set. O True False
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