how to create curve non linear

i want to perform curve at range:

y= from 7 to 9

x= from 2.5 to 3.0

 the curve is not linear.

Answer 1

[Kye Taylor]

Not sure I entirely understand your question, but if you're trying to create a nonlinear curve that passes through the two points (2.5,7) and (3,9), you can create a piecewise linear function:

       7 if x<2.75
f(x) = 
       9 if x>=2.75

Or, if you need continuity and differentiability, you can use the equation of a parabola

 y(x) = a*x^2+b*x + c

Substituting x = 2.5, y = 7 yields

 7 = 6.25*a + 2.5*b + c

Similarly, substituting x = 3, y = 9 yields

 9 = 9*a + 3*b + c

This underdetermined system (with unknowns a,b, and c) is consistent and therefore has infintely many solutions. If c = free parameter (t), then a family of parabolas that pass through (2.5,7) and (3,9) is given by

 y(x) = (2/15*t + 2/5)*x^2
      + (-11/15*t + 9/5)*x
      + t

For example, if t = 0,

 y(x) = 2/5*x^2 + 9/5*x

is a nonlinear curve through the points (2.5,7),(3,9);