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To determine the slope of the tangent at the point \((0, 1)\), we need to examine the curve at that point on the graph. 

Observing the graph, we see two functions intersecting near \((0, 1)\):
1. A curve that appears to have a relative minimum at \((0, 1)\).
2. Another curve (possibly linear or nearly linear) intersecting the other curve at this point.

For the slope of the tangent line at \((0, 1)\), if we assume it’s on the smoother curve, the slope would be zero since the graph appears to flatten out at that point (indicating a horizontal tangent). 

Thus, the slope of the tangent line at \((0, 1)\) is likely **0**.

Would you like more details on tangent slopes or further help interpreting this graph? 

Here are some additional questions to expand on this concept:
1. How do you find the slope of a tangent line algebraically?
2. What does it mean graphically when the slope of the tangent line is zero?
3. Can the tangent line at \((0, 1)\) have any other slope based on different interpretations?
4. How can derivatives help in determining tangent slopes?
5. What if we wanted the slope at a different point, say \((1, 1)\)?

**Tip:** When finding the slope of the tangent, check if the function is differentiable at that point for a clear solution.

The slope of the tangent at the point (0,1) is

This problem explores how to find the slope of the tangent line at the point (0,1) using graph analysis and calculus. The solution includes an examination of the graph's shape near the point of interest and an explanation of the tangent line's slope.

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