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National and Regional Contests
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National High School Mathematics League
2002 National High School Mathematics League
1
A Function
A Function
Source: 2002 National High School Mathematics League, Exam One, Problem 1
March 12, 2020
function
Problem Statement
The increasing interval of
f
(
x
)
=
log
1
2
(
x
2
−
2
x
−
3
)
f(x)=\log_{\frac{1}{2}}(x^2-2x-3)
f
(
x
)
=
lo
g
2
1
(
x
2
−
2
x
−
3
)
is
(A)
(
−
∞
,
−
1
)
(B)
(
−
∞
,
1
)
(C)
(
1
,
+
∞
)
(D)
(
3
,
+
∞
)
\text{(A)}(-\infty,-1)\qquad\text{(B)}(-\infty,1)\qquad\text{(C)}(1,+\infty)\qquad\text{(D)}(3,+\infty)
(A)
(
−
∞
,
−
1
)
(B)
(
−
∞
,
1
)
(C)
(
1
,
+
∞
)
(D)
(
3
,
+
∞
)
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