If your Verizon modem's Wi-Fi is not working, it could be for 2 reason.
Some Verizon modems have a Wireless bottom, make sure your the switch is ON, if it is off, it won't broadcast a Wi-Fi signal.
If your modem does not have a wireless bottom, and it still does not broadcast a signal, then your modem is not working fine. Call Verizon and they should help you replace it.