1. The problem asks to find the limit $\lim_{x \to 1} 4x - 3$ using a graph. 2. The function is $y = 4x - 3$, which is a linear function with slope 4 and y-intercept -3. 3. To sketch the graph: - Plot the y-intercept at $ (0, -3) $. - Use the slope 4 to find another point: from $x=0$ to $x=1$, y increases by 4, so point $ (1, 1) $. 4. The graph is a straight line passing through points $(0, -3)$ and $(1, 1)$. 5. To find the limit as $x$ approaches 1, evaluate the function at $x=1$: $$4(1) - 3 = 4 - 3 = 1$$ 6. Therefore, $\lim_{x \to 1} 4x - 3 = 1$. Final answer: 1