1. The problem involves analyzing the points where the vertical brown line intersects the blue curve on the graph. 2. The given x-values are $x=\frac{1}{2}$, $x=0$, $x=1$, and $x=-1$. 3. To understand the intersection points, we need the equation of the blue curve and the vertical line. 4. A vertical line at $x=a$ is represented by the equation $x=a$. 5. Since the vertical line intersects the curve, the curve's equation must be evaluated at these x-values to find corresponding y-values. 6. Without the explicit equation of the blue curve, we cannot compute exact y-values. 7. However, the vertical line intersects the curve at the given x-values, indicating these are points of intersection. 8. Therefore, the intersection points are at $\left(\frac{1}{2}, y\right)$, $(0, y)$, $(1, y)$, and $(-1, y)$ where $y$ is the curve's value at those x-values. 9. To proceed further, the curve's equation is needed.