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Mathematics
Problem
Number of integral values of
a
a
a
for which the function
f
(
x
)
=
(
4
a
−
7
3
)
x
3
+
(
a
−
3
)
x
2
+
x
+
5
f(x)=\left(\frac{4a-7}{3}\right)x^3+(a-3)x^2+x+5
f
(
x
)
=
(
3
4
a
−
7
)
x
3
+
(
a
−
3
)
x
2
+
x
+
5
is monotonic for every
x
∈
R
x \in R
x
∈
R
, is
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