Using the Graph Below, Determine the Following: (A) $\lim _ { x \rightarrow \infty } f ( x )$

question 37

Essay

Using the graph below, determine the following: (a) $\lim _ { x \rightarrow \infty } f ( x )$ (b) $\lim _ { x \rightarrow 2 ^ { + } } f ( x )$ (c) $\lim _ { x \rightarrow 2 ^ { - } } f ( x )$ (d) $f _ { x \rightarrow - \infty } f ( x )$ (e) $\lim _ { x \rightarrow 0 ^ { + } } f ( x )$ (f) $\lim _ { x \rightarrow 0 ^ { - } } f ( x )$ (g) Find the horizontal asymptote(s) of the graph of y = f (x).(h) Find the vertical asymptote(s) of the graph of y = f (x).

---

Definitions:

Hydroelectric Power

Renewable energy generated by using the movement of water through dams to produce electricity.

Japanese Colonialism

The period during which Japan extended its influence and control over various territories and peoples, primarily in Asia, through colonization, expansion, and imperial administration.

European Colonialism

The policy or practice by which European nations extended their control over foreign territories for economic and political gain.

Manufacturing Facilities

Buildings or complexes where goods are produced on a large scale using machinery and human labor.