Exam (elaborations)
COS1501 Assignment 3 (COMPLETE ANSWERS) 2024 (653581) - DUE 22 July 2024
- Institution
- University Of South Africa
100% Success rate Guaranteed A+ For assistance
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
Content preview
COS1501 Assignment3 (COMPLETE
ANSWERS) 2024
(653581) - DUE 22 July
2024
,COS1501 Assignment 3 (COMPLETE ANSWERS) 2024 (653581) - DUE 22
July 2024
Question 1 Complete Marked out of 2.00 Question 2 Complete Marked out of
2.00 QUIZ Suppose U = {1, 2, 3, 4, 5, a, b, c} is a universal set with the subset
A = {a, b, c, 1, 2, 3, 4}. Which one of the following relations on A is NOT
functional? a. {(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)} b. {(a, c), (b, c), (c, b), (1, 3),
(2, 3), (3, a)} c. {(a, a), (c, c), (2, 2), (3, 3), (4, 4)} d. {(a, c), (b, c), (1, 3), (3, 3)}
Suppose U = {1, 2, 3, 4, 5, a, b, c} is a universal set with the subset A = {a, b,
c, 1, 2, 3, 4}. Which one of the following alternatives represents a surjective
function from U to A? a. {(1, 4), (2, b), (3, 3), (4, 3), (5, a), (a, c), (b, 1), (c, b)}
b. {(a, 1), (b, 2), (c, a), (1, 4), (2, b), (3, 3), (4, c)} c. {(1, a), (2, c), (3, b), (4, 1),
(a, c), (b, 2), (c, 3)} d. {(1, a), (2, b), (3, 4), (4, 3), (5, c), (a, a), (b, 1), (c, 2)}
Question 3 Complete Marked out of 2.00 Question 4 Complete Marked out of
2.00 Question 5 Complete Marked out of 2.00 Let G and L be relations on A =
{1, 2, 3, 4} with G = {(1, 2), (2, 3), (4, 3)} and L = {(2, 2), (1, 3), (3, 4)}. Which
one of the following alternatives represents the relation L ￮ G = G; L? a. {(2,
3), (3, 3)} b. {(1, 2), (2, 4), (4, 4)} c. {(1, 2), (2, 1), (3, 3), (4, 4)} d. {(2, 4), (4, 4)}
Let g be a function from Z (the set of positive integers) to Q (the set of rational
numbers) defi ned by (x, y) ∈ g iff y = (g ⊆ Z x Q) and let f be a function on Z
defi ned by (x, y) ∈ f iff y = 5x + 2x – 3 (f ⊆ Z x Z ). Consider the function f on Z
. For which values of x is it the case that 5x + 2x – 3 > 0? Hint: Solve 5x + 2x –
For assistance with assignments whatsapp +254702715801
, 3 > 0 and keep in mind that x ∈ Z . a. x < 5, x ∈ Z b. < x <1, x ∈ Z c. x ≥ 1, x ∈
Z d. x < 1, x ∈ Z + 4x − 3/7 + + 2 + + + 2 2 + + 3/5 + + + Let g be a function
from Z (the set of positive integers) to Q (the set of rational numbers) defi ned
by (x, y) ∈ g iff y = (g ⊆ Z x Q) and let f be a function on Z defi ned by (x, y) ∈ f
iff y = 5x + 2x – 3 (f ⊆ Z x Z ). Which one of the following is an ordered pair
belonging to f? a. (–1, 0) b. (2, 21) c. (1, 5) d. (3, 44) + 4x − 3/7 + + 2 + +
Question 6 Complete Marked out of 2.00 Question 7 Complete Marked out of
2.00 Question 8 Complete Marked out of 2.00 Let g be a function from Z (the
set of positive integers) to Q (the set of rational numbers) defi ned by (x, y) ∈ g
iff y = (g ⊆ Z x Q) and let f be a function on Z defi ned by (x, y) ∈ f iff y = 5x +
2x – 3 (f ⊆ Z x Z ). Which one of the following alternatives represents the
image of x under g ￮ f (ie g ￮ f(x)))? a. 20x + 8x – 12 b. 80x + 4 x – c. 20x + 8x
+ 3 d. 80x + 4 x – 3 + 4x − 3/7 + + 2 + + 2 3/7 2 4/7 180/49 2 3/7 2 4/7 Let g
be a function from Z (the set of positive integers) to Q (the set of rational
numbers) defi ned by (x, y) ∈ g iff y = (g ⊆ Z x Q), and let f be a function on Z
defi ned by (x, y) ∈ f iff y = 5x + 2x – 3 (f ⊆ Z x Z ). Which one of the following
statements regarding the function g is TRUE? (Remember, g ⊆ Z x Q.) a. g
can be presented as a straight line graph. b. g is injective. c. g is surjective. d.
g is bijective. + 4x − 3/7 + + 2 + + + Which one of the following alternatives
gives the format for the list notation of a. (((a, a), a), ((a, b), d), ((a, c), c), ((a,
d), b), ((b, a), b), ((b, b), a), ((b, c), d), ((b, d), a), ((c, a), c), ((c, b), b), ((c, c),
For assistance with assignments whatsapp +254702715801
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller silvermade. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R48,49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
67474 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy summaries for 14 years now