Let `A = {9, 10 , 11 , 12 , 13}`and let `f : A ->N`be defined by f(n) = the highest prime factor of n. Find the range of f.

Explanation

To find the range of the function \( f : A \to \mathbb{N} \) defined by \( f(n) \) as the highest prime factor of \( n \), we will evaluate \( f(n) \) for each element in the set \( A = \{9, 10, 11, 12, 13\} \).

### Step-by-Step Solution:

1. **Evaluate \( f(9) \)**:
- The prime factorization of \( 9 \) is \( 3 \times 3 \).
- The highest prime factor of \( 9 \) is \( 3 \).
- Therefore, \( f(9) = 3 \).
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