1.
f:[−2,2]→[−2,2]f : [-2, 2] \to [-2, 2] and g:[−2,2]→[0,4]g : [-2, 2] \to [0, 4] are two functions defined as f(x)={−2,−2≤x≤0x2−2,0<x≤2f(x) = \begin{cases} -2, & -2 \le x \le 0 \\ x^2 - 2, & 0 < x \le 2 \end{cases} and g(x)=∣f(x)∣+f(∣x∣)g(x) = |f(x)| + f(|x|), then