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AP® Calculus AB-BC

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Moderate

Jump Discontinuity, Limits and Continuity with Graphs

APCALC-NRXZDR

Which of the following statements correctly describes the graph below?

Jensen, Tracey. Created for Albert.io. Copyright 2016. All rights reserved.

A

The function is not continuous at $x=1$.
$ \lim _{ x\rightarrow 1 }{ f(x) } $ does not exist.
$f(1)=1$

B

The function is continuous at $x=1$.
$ \lim _{ x\rightarrow 1 }{ f(x) } $ does not exist.
$f(1)=1$

C

The function is not continuous at $x=1$.
$ \lim _{ x\rightarrow 1 }{ f(x) } $ exists.
$f(1)=1$

D

The function is not continuous at $x=1$.
$ \lim _{ x\rightarrow 1 }{ f(x) } $ does not exist.
$f(1)=0.5$, and $f(1)=2$