Problem

\[ f(x)=\left\{\begin{array}{ll} x^{2} & x \leq-2 \\ 2 x & -2

Solution

Step 1 :Since 0 is greater than -2 and less than 2, it falls under the second condition. Therefore, we need to apply the function \(2x\) to 0.

Step 2 :Substitute \(x = 0\) into the function \(2x\).

Step 3 :Calculate the value of the function, which is \(2 * 0 = 0\).

Step 4 :Final Answer: \(f(0) = \boxed{0}\)

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