1. **Problem Statement:** Evaluate the limit of the function $f(x)$ as $x$ approaches 3 given the graph. 2. **Understanding the Graph:** The graph is a straight line passing through points $(0,3)$ and $(3,0)$. 3. **Find the equation of the line:** The slope $m$ is given by $$m=\frac{0-3}{3-0}=\frac{-3}{3}=-1$$ Using point-slope form with point $(0,3)$: $$y-3=-1(x-0)\implies y=-x+3$$ 4. **Evaluate the limit:** Since the function is continuous (a straight line), the limit as $x$ approaches 3 is simply the function value at 3: $$\lim_{x\to 3} f(x) = f(3) = -3 + 3 = 0$$ 5. **Answer:** The limit is 0.