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Problem
Problem
Let
f
(
x
)
=
sin
x
+
a
x
+
b
f(x) = \sin x + ax + b
f
(
x
)
=
sin
x
+
a
x
+
b
. Then,
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
has a. only one real root which is positive, if
a
>
1
,
b
<
0
a > 1, b < 0
a
>
1
,
b
<
0
b. only one real root which is negative, if
a
>
1
,
b
>
0
a > 1, b > 0
a
>
1
,
b
>
0
c. only one real root which is negative, if
a
<
−
1
,
b
<
0
a < -1, b < 0
a
<
−
1
,
b
<
0
d. None of the above
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