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