A function ' \( f \) ' is defined by \( f(x)=x^{2}+3, x \in_{2} \ma...

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A function ' \( f \) ' is defined by \( f(x)=x^{2}+3, x \in_{2} \mathbf{N} \) and \( x \leq 5 \).
Find the range of \( f \).
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