How can I have Matlab create a polynomial function from a vector of coefficients without invoking some other implemented function?

 Here is some of my initial thinking. 

function y = f(x)

    clc;
    clear;
    a = [0,1,1,1,1,1];
    n = length(a);
    y = 0;

    for i = 1:n
        while i<=n
            y = y + a(i)*x^(i-1);
        end

    end

    end

Answer 1

[Erik Keever]

If you're asking for the most efficient way to do it, call the function Mathworks implemented for us:

 >> help polyval

 POLYVAL Evaluate polynomial.

    Y = POLYVAL(P,X) returns the value of a polynomial P evaluated at X. P
    is a vector of length N+1 whose elements are the coefficients of the
    polynomial in descending powers.

        Y = P(1)*X^N + P(2)*X^(N-1) + ... + P(N)*X + P(N+1)|

Which is also an m-file you can view to see how it's done

[William Tanberg]

I would like to do it without using the polyval() or other such functions.

Answer 2

[madhan ravi]

a = [0,1,1,1,1,1]

poly2sym(a)  % requires symbolic toolbox

[madhan ravi]

How can I have Matlab create a polynomial function from a vector of coefficients?

By the above method you can do it