#2 – Looks like I drew the same sketch
for #2 and #3. Weird brain fart,
there. Let’s see. Here’s the pic for #2:
Looks like NO absolute Max. The absolute min is at x = 4 -> (4, 1)
Local Max @ (3, 4) and (6, 3).
I would probably call the point at (7, 2) a local min, but I’m not sure we count those on the boundaries of the domain. Checking…
Yes, it qualifies as a local
minimum, even though there’s nothing going on to the right of that point. The function is higher, everywhere near that point @ (7, 2).
#14 – I dropped a sign, there.