You purchase a new Cisco switch, turn it on, and connect to its console port.

The two interfaces are administratively shut down:

False: The output does not show any "shutdown" command under the interfaces, which would indicate that they are administratively shut down. Therefore, they are likely in their default state, which is administratively up.

The two interfaces have default IP addresses assigned:

False: The output does not show any IP address configuration. In the default state, interfaces do not have IP addresses assigned unless explicitly configured.

The two interfaces can communicate over Layer 2:

True: By default, interfaces on a switch are Layer 2 interfaces capable of forwarding Ethernet frames. As there is no configuration provided that changes this, it can be assumed they can communicate over Layer 2.

Interface Status: The absence of the "shutdown" command means the interfaces are not administratively shut down.

IP Address Assignment: There is no evidence in the output that IP addresses have been assigned to the interfaces, which would typically be shown as "ip address" entries.

Layer 2 Communication: Switch interfaces in their default state operate at Layer 2, enabling them to forward Ethernet frames and participate in Layer 2 communication.

References:

Cisco IOS Interface Configuration: Cisco Interface Configuration

Understanding Cisco Switch Interfaces: Cisco Switch Interfaces