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Find the Numbers at Which F Is Continuous f(x)={x216x4 if x48 if x=4f ( x ) = \left\{ \begin{aligned}\frac { x ^ { 2 } - 16 } { x - 4 } & \text { if } x \neq 4 \\8 & \text { if } x = 4\end{aligned} \right.

Question 37

Multiple Choice

Find the numbers at which f is continuous. At which numbers is f discontinuous?
- f(x) ={x216x4 if x48 if x=4f ( x ) = \left\{ \begin{aligned}\frac { x ^ { 2 } - 16 } { x - 4 } & \text { if } x \neq 4 \\8 & \text { if } x = 4\end{aligned} \right.


A) continuous for all real numbers except x=2x = 2
B) continuous for all real numbers except x=2,x=4x = 2 , x = 4
C) continuous for all real numbers
D) continuous for all real numbers except x=4x = 4

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