Same chapter3 marksDifficulty: Medium
Find the domain and range of f(x) = x2 + 1 for real x.
Relations and Functions
3 marksDifficulty: Medium
If A has 3 elements and B has 4, how many relations and how many functions are there from A to B?
Original Khojo Papers practice question — not from a past board paper.
Answer
212 = 4,096 relations and 43 = 64 functions.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
A relation is any subset of A × B, which has 12 elements. A function assigns to each of the 3 elements of A one of the 4 elements of B.
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If A = {1, 2} and B = {a, b}, write A × B and state the number of relations from A to B.
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