Start with the manual release cord, the red handle hanging from the trolley. Pull it once now, not during an outage, so you know it moves freely and you know where it is in the dark. On older openers common in this area's pre-1960 housing stock, that cord can seize up if it hasn't been touched in years.
Next, look at the opener's power connection. If it's plugged into a standard outlet rather than hardwired, a battery backup unit is usually a straightforward add without touching your home's wiring. If it's hardwired into the circuit, that's a different conversation.
Check the opener's age if you can find a manufacture date on the unit itself. Units without a visible battery compartment are almost certainly older stock, given how common that setup still is across the older tracts near Altadena, South Pasadena, and East Pasadena.
Finally, test the door manually once a year, disconnected from the opener. If it's hard to lift by hand, that's a spring or balance issue, not something a new opener or backup battery will fix.