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Given, $f:$ A $ \to $Z be a function such that $f\left( x \right) = $ highest prime factor of $x$.

Domain A $ = \{ 12,13,14,15,16,17\} $.

Now, we have to write the prime factors of each number.

Prime factor of $12 = 2 \times 2 \times 3$

The highest prime factor of $12$ is $3$.

Prime factor of $13 = 13$

The highest prime factor of $13$ is $13$.

Prime factor of $14 = 2 \times 7$

The highest prime factor of $14$ is $7$.

Prime factor of $15 = 3 \times 5$

The highest prime factor of $15$ is $5$.

Prime factor of $16 = 2 \times 2 \times 2 \times 2$

The highest prime factor of $16$ is $2$.

Prime factor of $17 = 17$

The highest prime factor of $17$ is $17$.

So, the highest prime factor of numbers in the domain A is $\left\{ {3,13,7,5,2,17} \right\}$. Now, putting them in sequence we get,

The domain of a function is the complete set of possible values of the independent variable (usually $x$). The range of a function is the complete set of all possible resulting values of the dependent variable (usually $y$) after we have substituted the domain.

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