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

question 37

Multiple Choice

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 \(x = 4\)

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Definitions:

Vitamin C

An essential nutrient known for its antioxidant properties and role in collagen synthesis.

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The regulation of the pH levels in bodily fluids, crucial for the body's overall functioning.

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Large, complex molecules made up of amino acids that are essential for numerous biological functions, including structure, enzyme catalysis, and signaling.

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