To solve this problem, we need to analyze the slopes at the labeled points on the curve (points A through F) and match each point with its corresponding slope. Let's go through each point:

1. Point A: The curve is slightly increasing at point A, so the slope is positive but close to zero. It looks like a very shallow upward slope.

2. Point B: The curve has reached a local maximum at B, meaning the slope here is zero.

3. Point C: The slope at C is negative as the curve is descending. The slope seems steep here, so it could correspond to a large negative slope.

4. Point D: This is a local minimum, meaning the slope is zero at D.

5. Point E: The slope at E is positive as the curve is increasing steeply. It looks like a large positive slope.

6. Point F: The curve is decreasing slightly, suggesting a small negative slope.

Now, we match each point to the slopes provided:

• Slope -3: This is a steep negative slope, which seems to match point C.
• Slope -1: A moderately negative slope, which could fit point F.
• Slope -1/2: A smaller negative slope, likely for point A if it's slightly decreasing there.
• Slope 0: This corresponds to points where the slope is zero, matching points B and D (local extrema).
• Slope 1: A positive slope, possibly fitting point A if it is slightly increasing.
• Slope 2: A steeper positive slope, which could fit point E.

Final Matching:

• Slope -3 ➔ Point C
• Slope -1 ➔ Point F
• Slope -1/2 ➔ Point A
• Slope 0 ➔ Points B and D (either order)
• Slope 1 ➔ Point A or B (adjust based