1. The problem asks for the average rate of change of the function $f(x)$ on the interval $-2 \leq x \leq 0$. 2. The average rate of change of a function $f(x)$ over an interval $[a,b]$ is given by the formula: $$\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}$$ 3. From the graph, we identify the points: - At $x = -2$, $f(-2) = 2$ - At $x = 0$, $f(0) = 4$ 4. Substitute these values into the formula: $$\frac{f(0) - f(-2)}{0 - (-2)} = \frac{4 - 2}{0 + 2} = \frac{2}{2}$$ 5. Simplify the fraction: $$\frac{\cancel{2}}{\cancel{2}} = 1$$ 6. Therefore, the average rate of change of $f(x)$ on the interval $-2 \leq x \leq 0$ is $1$.