Find Numbers a and B, or K, So That F $f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } , & \text { if } x \leq 4 \\ k x , & \text { if } x > 4 \end{array} \right.$

question 96

Multiple Choice

Find numbers a and b, or k, so that f is continuous at every point.
- $f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } , & \text { if } x \leq 4 \\ k x , & \text { if } x > 4 \end{array} \right.$

• A) \(k = 16\)
• B) \(\mathrm { k } = \frac { 1 } { 4 }\)
• C) \(\mathrm { k } = 4\)
• D) Impossible

---

Definitions:

Diagnostic Labeling

The assignment of a specific diagnostic category to an individual's psychological or behavioral condition, often impacting perception and treatment of the individual.

Psychologically Disordered Behaviors

Behaviors that deviate from what is considered typical or healthy by mental health professionals, often associated with psychological disorders.

Bias

A tendency to favor or lean towards a particular perspective, preference, or result, often in a way that is considered unfair or prejudiced.

Diagnostic Labels

Terms or phrases used in healthcare and psychology to identify and classify diseases, disorders, or conditions based on symptomatology and/or underlying causes.