The graph of
f
(
x
)
is given below. Select each true statement about the continuity of
f
(
x
)
at
x
=
3
.
An Upper V-shaped graph on a coordinate plane.
A coordinate plane has a horizontal x-axis labeled from negative 7 to 7 in increments of 1 and a vertical y-axis labeled from negative 7 to 7 in increments of 1. An Upper V-shaped graph that opens downward has open circle vertex left-parenthesis 3 comma negative 2 right-parenthesis and passes through the points left-parenthesis 0 comma negative 5 right-parenthesis and left-parenthesis 6 comma negative 5 right-parenthesis.
Select all that apply:
f
(
x
)
is not continuous at
x
=
3
because it is not defined there.
f
(
x
)
is not continuous at
x
=
3
because
lim
x
→
3
f
(
x
)
does not exist.
f
(
x
)
is not continuous at
x
=
3
because
lim
x
→
3
f
(
x
)
≠
f
(
3
)
.
f
(
x
)
is continuous at
x
=
3
.
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