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

question 293

Multiple Choice

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

• A) a = -2, b = -8
• B) a = 2, b = 8
• C) a = -2, b = 8
• D) Impossible

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Definitions:

Systematic Desensitization

A therapeutic technique used to gradually reduce phobia or anxiety through controlled exposure to the feared object or situation in conjunction with relaxation exercises.

Involuntary Learning

The process of learning that occurs without the intention to learn, often reflexively or as a result of exposure to stimuli.

Automatic Learning

The unconscious assimilation of knowledge or skills through exposure and practice without explicit effort.

Unconditioned Stimulus

A stimulus that naturally triggers a response without the need for prior learning.