Mathematics Part I - Relations and Functions Quiz
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Preview questions
1. Which of the following is a function?
A relation that assigns multiple outputs for a single input · A relation that assigns exactly one output for each input · A relation that has no outputs · A relation that is not defined
2. If A = {1, 2, 3} and B = {x | x is an even number less than 10}, what is the relation R from A to B?
{(1, 2), (2, 4), (3, 6)} · {(1, 4), (2, 6), (3, 8)} · {(1, 2), (2, 6), (3, 8)} · {(1, 8), (2, 10), (3, 12)}
3. Which of the following is a reflexive relation?
R = {(1, 1), (2, 2)} on set {1, 2, 3} · R = {(1, 2), (2, 3)} on set {1, 2, 3} · R = {(1, 2), (2, 1)} on set {1, 2} · R = {(2, 2), (3, 3)} on set {1, 2, 3}
4. What is the domain of the function f(x) = √(x - 1)?
[1, ∞) · (1, ∞) · [0, ∞) · (-∞, ∞)
5. If f: A → B and g: B → C are functions, what is the composite function g ∘ f?
A → B · B → C · A → C · C → A
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