16. Find the first thee output values of the fractal generating function $$ f(z)=z^{2}+2+ $$

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The first three output values of the function $$ f(z) = z^2 + 2 $$ are 2, 6, and 38. To find the first three output values of the fractal generating function $$ f(z) = z^2 + 2 $$, we need to evaluate this function for different initial values of $$ z $$. Let's start with a common initial value, $$ z_0 = 0 $$, and then we will compute the subsequent values. 1. **First iteration**: $$ z_0 = 0 $$ $$ f(z_0) = f(0) = 0^2 + 2 = 2 $$ 2. **Second iteration**: Now we take the output from the first iteration as the new input: $$ z_1 = 2 $$ $$ f(z_1) = f(2) = 2^2 + 2 = 4 + 2 = 6 $$ 3. **Third iteration**: Now we take the output from the second iteration as the new input: $$ z_2 = 6 $$ $$ f(z_2) = f(6) = 6^2 + 2 = 36 + 2 = 38 $$ Thus, the first three output values of the function $$ f(z) = z^2 + 2 $$ starting from $$ z_0 = 0 $$ are: 1. $$ f(0) = 2 $$ 2. $$ f(2) = 6 $$ 3. $$ f(6) = 38 $$ So the output values are $$ 2, 6, 38 $$.

16. Find the first thee output values of the fractal generating function \( f(z)=z^{2}+2+ \)

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16. Find the first thee output values of the fractal generating function \( f(z)=z^{2}+2+ \)

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