Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 63E
icon
Related questions
Question

(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)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Functions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax