a) \( \begin{array}{l}x+\text { si } x \leq-2 \\ a x+b \text { si }-2

It looks like you are presenting a piecewise function defined in three different intervals. Let's denote the function as \( f(x) \). The function can be expressed as follows: \[ f(x) = \begin{cases} x + \sin x & \text{if } x \leq -2 \\ ax + b & \text{if } -2 < x < 2 \\ 2x - 6 & \text{if } x \geq 2 \end{cases} \] To analyze or work with this function, you might want to consider the following: 1. **Continuity**: Check if the function is continuous at the points where the definition changes, i.e., at \( x = -2 \) and \( x = 2 \). 2. **Differentiability**: Check if the function is differentiable at those points. 3. **Graphing**: You might want to sketch the graph of the function to visualize its behavior across the different intervals. 4. **Finding specific values**: You can evaluate \( f(x) \) for specific values of \( x \) to see how the function behaves. If you have specific questions or tasks related to this piecewise function, please let me know!