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AP® Calculus AB-BC

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Moderate

Discrete Point Function, Limits and Continuity

APCALC-DXSR6E

Which of the following statements accurately describes the graph of $f(x)$?

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

A

$f(1)=2$

$\lim _{ x\rightarrow 1 }{ f(x)}=2$

$f(x)$ is not continuous on $[0.5, 1]$.

B

$f(1)$ does not exist

$\lim _{ x\rightarrow 1 }{ f(x)=f(1) }$

$f(x)$ is not continuous on $[0.5, 1]$.

C

$f(1)=2$

$\lim _{ x\rightarrow 0.5 }{ f(x) }$ does not exist.

$f(x)$ is not continuous on $[0.5, 1]$.

D

$f(1)=2$

$\lim _{ x\rightarrow 0.5 }{ f(x) }$ does not exist.

$f(x)$ is continuous on $[0.5, 1]$.