New Post: Is the reference point (x, y) above or below the non-linear equation?

Dear community member,

In short, I have a series of 3 to 10 data points that will be used to represent a curve. For example:

• X=0, Y=10
• X=4, Y=7
• X=9, Y=12
• X=16, Y=10
  

What I am trying to do is determine whether or not a reference point is above or below the curve.

My gut feeling is that for people in the know, this is a relatively straight forward problem to solve. Unfortunately, my area of expertise is programming... not mathematics :(

Any guidance you can provide would be greatly appreciated.