Simply check a single ip or a range of ips within your LAN

IP_PRE=192.168.1
[ -z "$1" ] && echo "Usage: ${0##*/} 15 30-37 42 .."

for num in "${@}";do
# Parse all the arguments
    if [ "-" = "$(echo $num|tr -d [[:digit:]])" ]
    then    # Its a range, as it contains a '-'
        range_start=${num/-*}
        range_end=${num/*-}
        range=${seq $range_start 1 $range_end}
    else    # It has no range, its a single number
        range=$num
    fi
    # Parse all the numbers filled in range
    for r in $range;do
        ping -c1 $IP_PRE.$r 2>/dev/zero 1>/dev/zero && \
            echo "$IP_PRE.$r is up" || \
            echo "$IP_PRE.$r is down"
    done
done