Let F (X) = Find the Following Limits $\lim _ { x \rightarrow - 2 ^ { - } } f ( x )$

question 107

Essay

Let f (x) = $$\left\{ \begin{array} { l l } \sqrt { - 2 - x } & \text { if } x \leq - 2 \\x & \text { if } - 2 < x \leq 2 \\x ^ { 2 } - 4 x + 6 & \text { if } x > 2\end{array} \right.$$ . Find the following limits. Justify your answers.(a) $\lim _ { x \rightarrow - 2 ^ { - } } f ( x )$ (b) $\lim _ { x \rightarrow - 2 ^ { + } } f ( x )$ (c) $lim _ { x \rightarrow - 2 } f ( x )$ (d) $\lim _ { x \rightarrow 2 ^ { - } } f ( x )$ (e) $\lim _ { x \rightarrow 2 ^ { + } } f ( x )$ (f) $\lim _ { x \rightarrow 2 } f ( x )$

---

Definitions:

Racial or Ethnic Differences

Variations in experiences, behaviors, health outcomes, and modes of social interaction that are influenced by race or ethnicity.

Risks

Potentials for loss, harm, or unwanted outcomes associated with certain actions or decisions.

Driving Carefully

A behavioral practice that involves adhering to road safety rules and exercising caution while operating a vehicle to minimize the risk of accidents.

Psychological Health

A state of well-being in which an individual realizes his or her own abilities, can cope with the normal stresses of life, can work productively and fruitfully, and is able to make a contribution to his or her community.