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VCE 11 Methods 2023

4.03 Domain and range

Interactive practice questions

Consider the relation $\left\{\left(8,5\right),\left(1,3\right),\left(3,4\right),\left(9,1\right),\left(2,9\right)\right\}${(8,5),(1,3),(3,4),(9,1),(2,9)}.

a

What is the domain of the relation?

Enter each value on the same line, separated by commas.

b

What is the range of the relation?

Enter each value on the same line, separated by commas.

c

Is this relation a function?

Yes

A

No

B
Easy
1min

Consider the relation $\left\{\left(2,3\right),\left(3,8\right),\left(6,1\right),\left(8,7\right),\left(3,2\right)\right\}${(2,3),(3,8),(6,1),(8,7),(3,2)}.

Easy
1min

Consider the relation $\left\{\left(4,4\right),\left(8,9\right),\left(2,8\right),\left(7,9\right),\left(3,1\right)\right\}${(4,4),(8,9),(2,8),(7,9),(3,1)}.

Easy
1min

Consider the relation in the table.

Easy
< 1min
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Outcomes

U1.AoS1.1

functions and function notation, domain, co-domain and range, representation of a function by rule, graph and table, inverse functions and their graphs

U1.AoS1.5

the definition of a function, the concepts of domain (including maximal, natural or implied domain), co-domain and range, notations for specification of the domain, co-domain and range and rule of a function

U1.AoS1.9

specify the rule, domain (including maximal, natural or implied domain), co-domain, and range of a function and identify whether or not a relation is a function

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