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

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Definitions:

Formal Operational Stage

The stage in Jean Piaget's theory of cognitive development where individuals gain the ability to think abstractly and logically.

Cognitive Development

The process by which individuals perceive, think, and gain an understanding of their world through the interaction of genetic and learned factors.

Tabula Rasa

The theory that individuals are born without built-in mental content and that all knowledge comes from experience or perception.

Inborn Predisposition

Natural tendencies or inclinations present at birth that can influence behaviors, preferences, and susceptibility to certain conditions.