Answer:
(I) f(x) = (2x ? 1)2
+ 3
f(x)
Minimum
value of f(x) = 3 and maximum value of f(x) does not exist.
(II) f(x) = 9x2
+ 12x + 2
Min, f(x)
= ?2 and
Max. f(x) does
not exist.
(III) f(x) = ? (x ? 1)2
+ 10 = 10 ? (x ? 1)2
Min. f(x) does
not exist.
(IV) f(x) = x3 + 1
is an
increasing function therefore extremum values of f(x) does not exist.
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