There are a couple of ways to check the Domain Authority (DA) history of a website:

1. Moz Link Explorer (Free with limitations):

Moz is the company that created the DA metric. Their Link Explorer tool allows you to see a website's current DA score and some historical data for free.
Visit the Moz Link Explorer website and enter the URL of the website you're interested in.
Look for the DA history graph, which will show you the website's DA score over a certain period (usually the last year).
While the free version offers a good starting point, it might not show long-term historical data.
2. Website SEO Checker (Free with limitations):

This free tool offers a specifically designed "Check DA History" feature.
Enter the website URL and the tool will display a historical DA chart, potentially going back as far as 2019 in some cases.
Keep in mind that free SEO tools might have limitations in data accuracy or may track DA differently than Moz.