Determining function based on the graph

[Engineer2021]

Hi guys,

This is my first post here, hello everybody ?
I hope you can help me with the math problem I have. I am trying to determine a function based on the graph I have (see attached). Each color represents one function. starting/ending points are no concern because I will set a limit based on X values.
Can anyone solve this?

 

[lev888]

Look up how to derive an equation of a line based on 2 points.

 

[Engineer2021]

Look up how to derive an equation of a line based on 2 points.

Hi lev888

If you look at the graph you will see this is logarithmic / exponential function, it's not simple as that

 

[Dr.Peterson]

If you look at the graph you will see this is logarithmic / exponential function, it's not simple as that

Actually, it is (almost) that simple. Since this is a log-log plot, the straight line relates log(x) and log(y). So find an equation of that line.

Or, recognize that since the equation has the form log(y) = a log(x) + b, it can be written as y = Bx^A. Your two points will yield two equations in A and B, which you can solve for the parameters.

Look up log-log plots. E.g. https://en.wikipedia.org/wiki/Log–log_plot

 

[Engineer2021]

Actually, it is (almost) that simple. Since this is a log-log plot, the straight line relates log(x) and log(y). So find an equation of that line.

Or, recognize that since the equation has the form log(y) = a log(x) + b, it can be written as y = Bx^A. Your two points will yield two equations in A and B, which you can solve for the parameters.

Look up log-log plots. E.g. https://en.wikipedia.org/wiki/Log–log_plot

Thanks for the reply dr. I have managed to find the function, thanks! not 100% but I will play with the constants a bit

 

[Deleted member 4993]

Thanks for the reply dr. I have managed to find the function, thanks! not 100% but I will play with the constants a bit

be careful while "reading" log-log graph !