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Mathematics
Mathematics
Problem
The graph of
f
:
R
→
R
f: R \to R
f
:
R
→
R
defined by
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
is symmetric with respect to
x
=
a
x = a
x
=
a
and
x
=
b
x = b
x
=
b
. Which of the following is true? a.
f
(
2
a
−
x
)
=
f
(
x
)
f(2a-x) = f(x)
f
(
2
a
−
x
)
=
f
(
x
)
b.
f
(
2
a
+
x
)
=
f
(
−
x
)
f(2a+x) = f(-x)
f
(
2
a
+
x
)
=
f
(
−
x
)
c.
f
(
2
b
+
x
)
=
f
(
−
x
)
f(2b+x) = f(-x)
f
(
2
b
+
x
)
=
f
(
−
x
)
d.
f
f
f
is periodic
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