Generating the function from given coordinates and slopes

[cooper607]

hi fellas, i have been given a graph from which i can extract the coordinates and the slopes but all i need is to generate the function this graph represents. can you suggest me any manual procedure to do this mathematically or do i have to use software to generate polynomial functions?
if there is any useful software to generate functions from co ordinates please let me know

 

[bhillyard]

Do you have any ideas, suspicions etc as to what sort of function it is - polynomial, trigonometric, exponential...
Without that one could work out a function that fits the values and slopes but it wouldn't necessarily produce correct values for other points.

 

[cooper607]

i got the curve to be sort of a straight line. I might have worked out with it to get a y=mx curve, but i m looking for a more accurate function because my straight line is slightly deviating from its path, not exponential though..actually i need to know if there is any mathematical manual process to get the accurate function or if you can suggest me a software which does it?

 

[cosmik debris]

Excel has a curve fitting function.

 

[CellCoree]

There are several methods for generating a function from given coordinates and slopes. One way to approach this mathematically is to use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. Using the coordinates and slopes given, you can plug in the values for x, y, and m to solve for b and then write the function in the form y = mx + b.

For more complex functions, such as polynomials, it may be more efficient to use software or online tools. There are many options available, such as WolframAlpha or Desmos, which can generate a function based on given coordinates and slopes. These tools also allow you to adjust the degree of the polynomial and see the resulting graph, which can be helpful in determining the accuracy of the function.

It is always important to double check the resulting function to ensure it accurately represents the given graph. Additionally, it may be helpful to consult with a math expert or tutor to confirm the accuracy of the generated function.