Find Numbers a and B, or K, So That F $f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } , & \text { if } x \leq 6 \\x + k , & \text { if } x > 6\end{array} \right.$

question 157

Multiple Choice

Find numbers a and b, or k, so that f is continuous at every point.
- $f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } , & \text { if } x \leq 6 \\x + k , & \text { if } x > 6\end{array} \right.$

• A) k = 42
• B) k = 30
• C) k = -6
• D) Impossible

---

Definitions:

Colleagues

Individuals one works with, especially within a professional setting, contributing to a shared goal or project.

Decision Making

The process of making choices or reaching conclusions, especially in the context of selecting a particular course of action among several alternatives.

Constructive Conflict

A healthy and productive form of conflict that results in beneficial outcomes, such as resolving misconceptions, addressing underlying problems, and fostering innovation.

Assertiveness

The quality of being self-assured and confident without being aggressive, allowing an individual to express themselves and stand up for their rights.