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Consider the Following Function f(x)={3xx<1x1x<3(x3)2x3f(x)=\left\{\begin{array}{cc}3-x & x<-1 \\x & -1 \leq x<3 \\(x-3)^{2} & x \geq 3\end{array}\right.

question 80

Short Answer

Consider the following function. f(x)={3xx<1x1x<3(x3)2x3f(x)=\left\{\begin{array}{cc}3-x & x<-1 \\x & -1 \leq x<3 \\(x-3)^{2} & x \geq 3\end{array}\right. Determine the values of a for which limxaf(x)\lim _{x \rightarrow a} f(x) exists.


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Moods

Emotional states that are less specific, less intense, and longer-lasting than emotions, influencing an individual's perception and behavior.

Heuristics

Mental shortcuts or "rules of thumb" that simplify decision-making but do not guarantee a correct outcome.

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A state of well-being and contentment that enhances one's outlook and cognitive functions.

Experientially

Relating to or derived from experience or the process of learning through direct experience.

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