You can quickly check Moz domain authority and page authority here, just please enter your domain name and press Check Authority button.
Domain Authority is provided by Moz, this metric is at domain level, it meaning that each url/page under one domain will return same value, unlike page authority which is url metric. Both of metrics use logarythmic value from 0 to 100 - more difficult increase DA from 20 to 30, than from 10 to 20.
Page Authority is at url level - it meaning that each url (page/subpage) have own authority and its a part of domain authority. Page authority use also logarythmic value between 1 and 100. Higher value of page authority allow for single page get better ranking in search engines.
MozRank it's similar to previous version of Google Pagerank and it's main part of Domain authority and page authority. MozRank have range from 0.00 (no value) to 9.99 (high value) which depending from backlinks pointing to page and linking websites quality. Good websites with many backlinks giving high value of moz Rank (mR) via links.
In Moz opinion: Domain Authority is Moz's calculated metric for how well a given domain is likely to rank in Google's search results.
In real seo world, domains with high domain authority can have Google penalty or can be banned in Google, so you need also check other signals like Majestic TF, Google index, domain traffic or Semrush metrics - which will tell you how many keywords have provided domain in top search results. Especially when you are looking for expired domains and would like a real increase Google ranking of your website.