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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
2
+
a
x
+
b
f(x) = x^2 + ax + b
f
(
x
)
=
x
2
+
a
x
+
b
. If the maximum and the minimum values of
f
(
x
)
f(x)
f
(
x
)
are 3 and 2 respectively for
0
≤
x
≤
2
0 \le x \le 2
0
≤
x
≤
2
, then the possible ordered pair of
(
a
,
b
)
(a, b)
(
a
,
b
)
is : (a)
(
−
2
,
3
)
(-2, 3)
(
−
2
,
3
)
(b)
(
−
3
/
2
,
2
)
(-3/2, 2)
(
−
3/2
,
2
)
(c)
(
−
5
/
2
,
3
)
(-5/2, 3)
(
−
5/2
,
3
)
(d)
(
−
5
/
2
,
2
)
(-5/2, 2)
(
−
5/2
,
2
)
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