Relations, Domain and Range (VCE SSCE Mathematical Methods): Quizzes

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Relations, Domain and Range
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What is a relation in mathematics?

A collection of ordered pairs

What is the domain of a relation?

Set of all first coordinates (x-values)

What is the range of a relation?

Set of all second coordinates (y-values)

Find the domain of R={(2,5),(3,7),(2,9),(4,1)}R = \{(2, 5), (3, 7), (2, 9), (4, 1)\}

{2,3,4}\{2, 3, 4\}

Find the range of P={(1,3),(2,3),(4,5),(6,7)}P = \{(1, 3), (2, 3), (4, 5), (6, 7)\}

{3,5,7}\{3, 5, 7\}

Are the ordered pairs (2,3)(2, 3) and (3,2)(3, 2) the same?

No, order matters in ordered pairs

What does the interval notation [a,b][a, b] mean?

All values from aa to bb, including both

To fully define a relation using a rule, what must be specified?

Both the equation and the domain

How do you find the domain from a graph of a relation?

Look at the horizontal extent

What is the implied (maximal) domain of a relation?

Largest set where the rule makes sense

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