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# Jump Discontinuity, Limits and Continuity with Graphs

APCALC-NRXZDR

Which of the following statements correctly describes the graph below?

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 $f(1)=2$