MAT1514
ASSIGNMENT 1
2024
, QUESTION 1
Solution:
1.1)
A function f: X → Y is a relation between two sets X and Y such that each element x ∈ X
is associated to one and only one element y ∈ Y.
This relation is a function
1.2)
y 2 + 16 = x
y 2 = x − 16
y = ±√x − 16
y = +√x − 16 or y = −√x − 16
Here we can see that here one element x is associated to more than one element y. The relation
is not a function.
ASSIGNMENT 1
2024
, QUESTION 1
Solution:
1.1)
A function f: X → Y is a relation between two sets X and Y such that each element x ∈ X
is associated to one and only one element y ∈ Y.
This relation is a function
1.2)
y 2 + 16 = x
y 2 = x − 16
y = ±√x − 16
y = +√x − 16 or y = −√x − 16
Here we can see that here one element x is associated to more than one element y. The relation
is not a function.
