I think you MEAN
f(32.06)=56.68
f(34.26)=56.68
f(35.84)=56.68
f(39.2)=56.68
f(44.92)=56.68
f(52.24)=56.68
and are asking "what is f".
In fact there are infinitely many functions that satisfy this- there are infinitely many functions that will give ANY finite number of data points.
With this function, since every given value of x gives the same y value, 56.68, the simplest function is just the constant function f(x)= 56.68 for all x.
With this function, since every given value of x gives the same y value, 56.68, the simplest function is just the constant function f(x)= 56.68 for all x.
A straight line, yes, but, more to the point, an horizontal line, at a height of 56.68 units above the x-axis.By constant function you mean a straight line. Yes?