Center/Set Zoom of Map to cover all visible Markers?

You need to use the fitBounds() method.

var markers = [];//some array
var bounds = new google.maps.LatLngBounds();
for (var i = 0; i < markers.length; i++) {
 bounds.extend(markers[i]);
}

map.fitBounds(bounds);

Documentation from developers.google.com/maps/documentation/javascript:

fitBounds(bounds[, padding])

Parameters:

`bounds`:  [`LatLngBounds`][1]|[`LatLngBoundsLiteral`][1]
`padding` (optional):  number|[`Padding`][1]

Return Value: None

Sets the viewport to contain the given bounds.
Note: When the map is set to display: none, the fitBounds function reads the map’s size as 0x0, and therefore does not do anything. To change the viewport while the map is hidden, set the map to visibility: hidden, thereby ensuring the map div has an actual size.