Mathematics Part I: Relations and Functions Quiz
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Preview questions
1. What is the definition of a relation in mathematics?
A set of ordered pairs · A single element from a set · A function with one output · A collection of numbers
2. If A = {1, 2, 3} and B = {x, y}, how many relations can be formed from A to B?
2^3 · 3^2 · 5 · 6
3. Which of the following is a function?
{(1, 2), (1, 3)} · {(1, 2), (2, 2), (3, 3)} · {(1, 2), (2, 3), (1, 4)} · {(1, 1), (2, 2), (2, 3)}
4. What is the range of the function f(x) = x^2 for x ∈ {1, 2, 3}?
{1, 2, 3} · {1, 4, 9} · {1, 3, 6} · {1, 2, 4}
5. If R is a relation on set A, which of the following is true for the domain of R?
It includes all elements of A · It includes only elements related to B · It includes elements that are not in A · It includes elements that are related to R
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