If A has 3 elements and B has 4, how many relations and how many functions are there from A to B?
Relations and Functions
Original Khojo Papers practice question — not from a past board paper.
A relation from A to B is any subset of A × B. A function is a relation in which every element of A is related to exactly one element of B, so no element of the domain may have two images.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Every function is a relation, but not every relation is a function.
From the same topic and chapter, at a similar level.
If A has 3 elements and B has 4, how many relations and how many functions are there from A to B?
Relations and Functions
Find the domain and range of f(x) = x2 + 1 for real x.
Relations and Functions
Find the domain of f(x) = √(x − 4).
Relations and Functions
Find the domain and range of the function f(x) = 1/(x − 3).
Relations and Functions
If f(x) = 2x + 3 and g(x) = x2, find (f ∘ g)(2) and (g ∘ f)(2).
Relations and Functions
If A = {1, 2} and B = {a, b}, write A × B and state the number of relations from A to B.
Relations and Functions