Determine the Domain and Range of the Relation
Question
Determine the domain and range of the relation
\[ R=\{(x,x^3):x \text{ is a prime number less than }10\} \]
Solution
Prime numbers less than \(10\) are
\[ 2,3,5,7 \]
Therefore,
\[ R= \{ (2,8),(3,27),(5,125),(7,343) \} \]
Domain = set of first elements
\[ \boxed{ \{2,3,5,7\} } \]
Range = set of second elements
\[ \boxed{ \{8,27,125,343\} } \]