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

question 80

Short Answer

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

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Definitions:

Social Identity Theory

Social identity theory is a psychological framework that posits individuals derive part of their identity and self-esteem from the groups to which they belong.

Status Quo

The existing state or condition of a situation, which is often seen as the standard or norm.

Entitativity

The perception or degree to which a group is seen as being a coherent, distinct, and unified entity.

Ingroup Bias

The inclination to prefer individuals from one's own group rather than from other groups.