1. The problem is to determine if the function given by the table is linear or nonlinear. 2. A function is linear if the rate of change (slope) between any two points is constant. 3. Calculate the slope between the first two points $(-5,-10)$ and $(4,-1)$: $$m_1=\frac{-1-(-10)}{4-(-5)}=\frac{9}{9}=1$$ 4. Calculate the slope between the next two points $(4,-1)$ and $(13,8)$: $$m_2=\frac{8-(-1)}{13-4}=\frac{9}{9}=1$$ 5. Since $m_1=m_2=1$, the slope is constant. 6. Therefore, the function is linear. Final answer: linear