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Mathematics
Problem
A differentiable function
h
h
h
satisfies
h
′
(
x
)
≤
−
3
h'(x)\le -3
h
′
(
x
)
≤
−
3
for all real
x
x
x
and
h
(
1
)
=
4
h(1)=4
h
(
1
)
=
4
. Explain why the equation
h
(
x
)
=
4
h(x)=4
h
(
x
)
=
4
has exactly one real solution.
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