Suppose that
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
is a continuous function on the interval
[
4
,
8
]
\displaystyle {\left[{4},{8}\right]}
[
4
,
8
]
with
f
(
4
)
=
−
3
\displaystyle {f{{\left({4}\right)}}}=-{3}
f
(
4
)
=
−
3
and
f
(
8
)
=
3
\displaystyle {f{{\left({8}\right)}}}={3}
f
(
8
)
=
3
. 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 [4, 8]"
Always false
Always true
Sometimes true and sometimes false
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