Let X = { 1 , 2 , 3 } , Y = { 1 , 2 , 3 , 4 } , and Z= { 1 , 2 }
(a)
To find:
A function f:X→Y which is one-to-one but not onto.
Given information:
Let X={1,2,3},Y={1,2,3,4} and Z={1,2}
(b)
A function g:X→Z which is onto but not one-to-one.
(c)
A function h:X→X which is neither one-to-one nor onto.
(d)
A function k:X→X which is one-to-one and onto but is not the identity function on X.
Check out a sample textbook solution.
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!