This simple sample should get you started. Have a play, explain if it doesn't meet your requirements.
CREATE FUNCTION [dbo].[MyFirstITVF]
(
@StartNum INT
)
RETURNS TABLE WITH SCHEMABINDING AS
RETURN
SELECT d.MyInt, x.MyString
FROM
(SELECT MyInt = @StartNum + 1 UNION ALL
SELECT MyInt = @StartNum + 2 UNION ALL
SELECT MyInt = @StartNum + 3 UNION ALL
SELECT MyInt = @StartNum + 4) d
CROSS APPLY (SELECT MyString = CASE WHEN d.MyInt%2 = 1 THEN 'Odd' ELSE 'Even' END) x
GO
SELECT * FROM [dbo].[MyFirstITVF] (0)
For fast, accurate and documented assistance in answering your questions, please read this article.
Understanding and using APPLY, (I) and (II) Paul White
Hidden RBAR: Triangular Joins / The "Numbers" or "Tally" Table: What it is and how it replaces a loop Jeff Moden