Let A = 1, 2, 3, 4, B = 1, 5, 9, 11, 15, 16 and f = (1,5), (2,9),…

Question 33 of 35intermediate🔍 AnalyzeShort Answer3 marks

Let $A = \{1, 2, 3, 4\}$ , $B = \{1, 5, 9, 11, 15, 16\}$ and $f = \{(1,5), (2,9), (3,1), (4,5), (2,11)\}$ Are the following true?

(i)

$f$ is a relation from $A$ to $B$

Answer

True

(ii)

$f$ is a function from $A$ to $B$ .

Answer

False

Explanation

This question tests understanding of relations and functions. A relation from A to B is any subset of A × B. A function requires that each element of the domain has exactly one image in the codomain.

Previous Next