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Question:

Let $R=\left\{\left(a, a^{3}\right): a\right.$ is a prime number less than 10$\}$.

Find (i) R (ii) dom (R) (iii) range (R).

 

Solution:

(i) $R=\{(2,8),(3,27),(5,125),(7,343)\}$

(ii) $\operatorname{dom}(R)=\{2,3,5,7\}$

(iii) range $(R)=\{8,27,125,343\}$

 

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