SQLite Opening connection once or multiple

I have a question regarding the SQLite Database connection.

I habe a code like that:

       using (SQLiteConnection connection = new SQLiteConnection("Data Source= " + dataSource))
        {
            connection.Open();
            using (SQLiteCommand command = connection.CreateCommand())
            {
                command.CommandText = "SELECT MAX(X_AXIS) FROM GraphCoor_" + EnvironmentalValue + ";";
                try
                {
                    using (SQLiteDataReader reader = command.ExecuteReader())
                    {
                        while (reader.Read())
                        {
                            MAX = Convert.ToInt32(reader[0]);
                        }//END_while
                    }//END_using reader
                }

            }//END_using command
        }//END_using connection

I have several functions where I use the code with the creation of the SQLiteConnection and the connection.open command. My question is, would it be better to create and open the connection once?