Find the numbers at which f is continuous. At which numbers is f discontinuous?
-$$f ( x ) = \left\{ \begin{aligned}
\frac { x ^ { 2 } - 16 } { x - 4 } & \text { if } x \neq 4 \
8 & \text { if } x = 4
\end{aligned} \right.$$
A) continuous for all real numbers except $x = 2$
B) continuous for all real numbers except $x = 2 , x = 4$
C) continuous for all real numbers
D) continuous for all real numbers except $x = 4$

Question

Quizplus · Accepted Answer

The Answer of Find the numbers at which f is continuous. At which numbers is f discontinuous?
-$$f ( x ) = \left\{ \begin{aligned}
\frac { x ^ { 2 } - 16 } { x - 4 } & \text { if } x \neq 4 \
8 & \text { if } x = 4
\end{aligned} \right.$$
A) continuous for all real numbers except $x = 2$
B) continuous for all real numbers except $x = 2 , x = 4$
C) continuous for all real numbers
D) continuous for all real numbers except $x = 4$

Find the Numbers at Which F Is Continuous f(x)={x2−16x−4 if x≠48 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.f(x)=⎩⎨⎧​x−4x2−16​8​ if x=4 if x=4​

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