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COS1501 Assignment 3 (COMPLETE ANSWERS) 2024 (653581) - DUE 22 July 2024
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COS1501 Assignment 3 (COMPLETE ANSWERS) 2024 (653581) - DUE 22July 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 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 whatsapp +254702715801
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