The Gers made it nine out of nine with a 3-1 victory at Ibrox on Saturday.
The Bairns gave Mark Warburton’s men one of their toughest encounters of the season and were effective at stifling the Gers free-flowing style.
Dean Shiels had given Rangers the advantage after three minutes with a well-taken finish inside the box before a stunning strike from Will Vaulks evened things up.
Falkirk were determined and dogged and it took until the 81st minute for the Gers to restore their lead, with Tavernier expertly dispatching a free kick.
A 90th minute Lee Wallace goal sealed the deal and continued Rangers 100% start to the league campaign.
The ability to pick up points when the performance isn’t quite at the usual standards is a sign of champions and Tavernier feels the Gers showcased that quality this weekend.
“If you watched the Premier League last season and saw Chelsea you would have seen sometimes you have to win ugly and really dig deep to win game,” he said, in quotes published by the Daily Record.
“And that brings out the champions. I’m just glad we can find ways to win games. We don’t always have to play really good football to get there.
“Hopefully that can help us through the season because it won’t always be pretty and we are going to have to dig deep.”
Rangers’ march towards the top flight is seemingly inevitable and with the squad capable of grinding out wins as well as blowing teams away, it’s no wonder.