Suppose that
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
is a continuous function with
f
(
−
1
)
=
1
\displaystyle {f{{\left(-{1}\right)}}}={1}
f
(
−
1
)
=
1
and
f
(
2
)
=
1
\displaystyle {f{{\left({2}\right)}}}={1}
f
(
2
)
=
1
. Determine which choice best describes the following statement.
"
f
(
x
)
=
0
\displaystyle {f{{\left({x}\right)}}}={0}
f
(
x
)
=
0
for some
x
\displaystyle {x}
x
in the interval [-1, 2]"
Always true
Sometimes true and sometimes false
Always false
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