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

question 144

Multiple Choice

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

• 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:

Independently

Acting or done without being influenced or controlled by others.

Incompletely Dominant

A genetic scenario where the phenotype of the heterozygote is intermediate between the phenotypes of the two homozygotes.

Dihybrid Heterozygotes

Individuals carrying two different alleles of two different genes, showing a phenotype that reflects the interaction of both.

Phenotypes

The observable physical or biochemical characteristics of an organism, as determined by both genetic makeup and environmental influences.