Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Let A = B = {a, b, c, d}. The function f is defined from A to B which is given below: f = {(a, a), (b, c), (c, b), (d, b)} Find the domain and range of the function. Hence determine whether the function is everywhere defined, onto and one to one. Explain your answers. (6 marks)

Let A = B = {a, b, c, d}. The function fis defined from A to B which is given below:
J- {(а, а), (b, с), (с, b), (d, b)}
Find the domain and range of the function. Hence determine whether the function is
everywhere defined, onto and one to one. Explain your answers.
Q2.
(a)
(6 marks)
Let A = {a, b, c} and B = {1, 2, 3}. Draw a mapping each from A to B to represent the
following function:
(b)
(i)
The function is everywhere defined, onto and one to one.
(2 marks)
(ii)
The function is everywhere defined, not onto and not one to one.
(2 marks)
(iii)
The function is not everywhere defined, not onto and one to one.
(2 marks)
Transcribed Image Text:Let A = B = {a, b, c, d}. The function fis defined from A to B which is given below: J- {(а, а), (b, с), (с, b), (d, b)} Find the domain and range of the function. Hence determine whether the function is everywhere defined, onto and one to one. Explain your answers. Q2. (a) (6 marks) Let A = {a, b, c} and B = {1, 2, 3}. Draw a mapping each from A to B to represent the following function: (b) (i) The function is everywhere defined, onto and one to one. (2 marks) (ii) The function is everywhere defined, not onto and not one to one. (2 marks) (iii) The function is not everywhere defined, not onto and one to one. (2 marks)
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