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AP® Calculus AB-BC

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A Function of Ordered Pairs

APCALC-EBQLYU

Suppose we have a function $f(x)$ that is defined by the set of ordered pairs below:

$$\left\{ \left( -5,3 \right) ,\left( -3,6 \right) ,\left( -2,0 \right) ,\left( 0,7 \right) ,\left( 3,1 \right) \right\} $$

At which of the values in the domain of $f(x)$ is $f(x)$ continuous?

A

$-2 $

B

${-5,3}$

C

${-3,0}$

D

The function is not continuous at any of the values in the domain of $f$.