Check if values are sorted without using predifined issorted function

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Hello all, my name is Felipe, and I'm not very experienced in programming, but for a work that I want to apply, I'm being asked for the following tasks, so if anybody could help that would be great!

Define a vector: [5 4 8 1 5 4 7 4]
Check if values are sorted (Do not use any predifined sort function)
In case that the numbers are not sorted, sort them by increasing order.
After sorting, check if there are any duplicates and remove them, leaving a single value for that number.
Let the user know the size of the list and if the list has more than 5 items (i.e. “List contains more than 5 items; total items: X”)So I already have made a function but it is not quite polished yet, so I leave it here:

    function [sx1] = unt(x)
sx=length(x);
x2=x;
for y = 1:length(x)
[sx(y),ix] = min(x);       % crea vector sx de y elementos con el mínimo y su posición ix
x(ix) = [];                 % borra el mínimo
end
if isequal(sx,x2)
 disp('\nIt is sorted')
else
fprintf('\nIt is not sorted - The sorted value is:'); disp(sx);
end
sx1=unique(sx);
fprintf('The value without duplicates is:'); disp(sx1);
i=length(sx1);
if i>5
fprintf('List contains more than 5 items; total items: %d\n',i);
else
fprintf('List contains equal or less than 5 items; total items: %d\n',i);
end
end