50 POINTS
Which functions meet the necessary criteria for the extreme value theorem? Check all that apply.

f(x) = over [–5, 5]
f(x) = over [–4, 2]
f(x) = 4x2 + 7x – 1 over [1, 8]
f(x) = tan(x) over [0,]
f(x) = –9x3 + 8 over [–10, 10]
f(x) = over [–6, 4]