I believe that this should do what you need, using dynamic SQL to generate a single statement that can give you your results and then using that with EXEC to put them into your table. The FOR XML trick is a common one for concatenating VARCHAR values together from multiple rows. It has to be written with the AS [text()] for it to work.
--=========================================================
-- Set up
--=========================================================
CREATE TABLE dbo.TestTableFunctions (function_name VARCHAR(50) NOT NULL, parameter VARCHAR(20) NOT NULL)
INSERT INTO dbo.TestTableFunctions (function_name, parameter)
VALUES ('fn_one', '1001'), ('fn_two', '1001'), ('fn_one', '1002'), ('fn_two', '1002')
CREATE TABLE dbo.TestTableFunctionsResults (function_name VARCHAR(50) NOT NULL, parameter VARCHAR(20) NOT NULL, result VARCHAR(200) NOT NULL)
GO
CREATE FUNCTION dbo.fn_one
(
@parameter VARCHAR(20)
)
RETURNS TABLE
AS
RETURN
SELECT 'fn_one_' + @parameter AS result
GO
CREATE FUNCTION dbo.fn_two
(
@parameter VARCHAR(20)
)
RETURNS TABLE
AS
RETURN
SELECT 'fn_two_' + @parameter AS result
GO
--=========================================================
-- The important stuff
--=========================================================
DECLARE @sql VARCHAR(MAX)
SELECT @sql =
(
SELECT 'SELECT ''' + T1.function_name + ''', ''' + T1.parameter + ''', F.result FROM ' + T1.function_name + '(' + T1.parameter + ') F UNION ALL ' AS [text()]
FROM
TestTableFunctions T1
FOR XML PATH ('')
)
SELECT @sql = SUBSTRING(@sql, 1, LEN(@sql) - 10)
INSERT INTO dbo.TestTableFunctionsResults
EXEC(@sql)
SELECT * FROM dbo.TestTableFunctionsResults
--=========================================================
-- Clean up
--=========================================================
DROP TABLE dbo.TestTableFunctions
DROP TABLE dbo.TestTableFunctionsResults
DROP FUNCTION dbo.fn_one
DROP FUNCTION dbo.fn_two
GO
The first SELECT statement (ignoring the setup) builds a string which has the syntax to run all of the functions in your table, returning the results all UNIONed together. That makes it possible to run the string with EXEC, which means that you can then INSERT those results into your table.
A couple of quick notes though... First, the functions must all return identical result set structures - the same number of columns with the same data types (technically, they might be able to be different data types if SQL Server can always do implicit conversions on them, but it's really not worth the risk). Second, if someone were able to update your functions table they could use SQL injection to wreak havoc on your system. You'll need that to be tightly controlled and I wouldn't let users just enter in function names, etc.