Final answer:
To make a function when given three points, we can use the concept of linear interpolation. This involves finding the equation of the line passing through the points.
Step-by-step explanation:
Solution for Position
To make a function when given three points, we can use the concept of linear interpolation. Let's suppose the three points are (x₁, y₁), (x₂, y₂), and (x₃, y₃). We can find the equation of the line passing through these points using the formula: y = y₁ + (x - x₁) * ((y₂ - y₁) / (x₂ - x₁)), where x is the independent variable.
For example, if the three points are (1, 3), (2, 5), and (3, 7), the equation of the line would be y = 3 + (x - 1) * ((5 - 3) / (2 - 1)).
This equation represents the function for the given three points.