Find the Numbers at Which F Is Continuous $$f ( x ) = \left\{ \begin{aligned}7 x & \text { if } x < 6 \\41 & \text { if } x = 6 \\x ^ { 2 } + 6 & \text { if } x > 6\end{aligned} \right.$$

question 100

Multiple Choice

Find the numbers at which f is continuous. At which numbers is f discontinuous?
- $$f ( x ) = \left\{ \begin{aligned}7 x & \text { if } x < 6 \\41 & \text { if } x = 6 \\x ^ { 2 } + 6 & \text { if } x > 6\end{aligned} \right.$$

• A) continuous for all real numbers
• B) continuous for all real numbers except \(x = 7 , x = 6\)
• C) continuous for all real numbers except \(x = 6\)
• D) continuous for all real numbers except \(x = 0 , x = 6\)

---

Definitions:

Limbic System

A complex system of nerves and networks in the brain, involved in the control of basic emotions and drives, such as fear, pleasure, and anger.

Thalamus

Structure of the brain that directs incoming information from sense receptors (such as vision and hearing) to the cerebrum.

Psychological Approach

Approach to abnormality that focuses on personality, behavior, and ways of thinking as possible causes of abnormality.

Abnormal Behavior

Actions, thoughts, or feelings that are significantly deviant from cultural norms or expectations.