MATLAB: How to define a special function with some points

Question

I want to define a function like this

f(0.2)=1.42007;

f(0.4)=1.88124;

f(0.5)=2.12815;

f(0.6)=2.38676;

f(0.7)=2.65797;

f(0.8)=3.94289;

f(1)=3.55975;

to use these values in a For Loop. How can I define function f?

Thanks in advance.

Answer 1

You can use interp1()

x = [0.2 0.4 0.5 0.6 0.7 0.8 1];
y = [1.42007 1.88124 2.12815 2.38676 2.65797 3.94289 3.55975];
f = @(xq) interp1(x, y, xq);

Then you can also evaluate in for in-between points

>> f(0.2)
ans =
    1.4201
>> f(0.3)
ans =
    1.6507
>> f(0.55)
ans =
    2.2575