Which relation from A={1,2,3} to B={p,q} represents a function from A to B?
Answer and explanation
Correct answer: {(1,p),(2,q),(3,p)}
Option B is correct. A relation from A to B is a function exactly when every element of A has one and only one image in B. In option B, 1 maps to p, 2 maps to q, and 3 maps to p, so every domain element appears once with a single output. Option A gives two outputs to 1, option C leaves 3 without an image, and option D gives two outputs to 2.
Frequently asked questions
What is the correct answer to this question?
{(1,p),(2,q),(3,p)}
Why is this the correct answer?
Option B is correct. A relation from A to B is a function exactly when every element of A has one and only one image in B. In option B, 1 maps to p, 2 maps to q, and 3 maps to p, so every domain element appears once with a single output. Option A gives two outputs to 1, option C leaves 3 without an image, and option D gives two outputs to 2.
Which subject and chapter does this question cover?
This is a Class 11 Mathematics question. Chapter: Relations and Functions. Topic: Functions as a special kind of relation.
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