The Left and from the Right by Completing the Tables

question 16

Multiple Choice

$\text { Determine whether } f ( x ) = \frac { x ^ { 10 } } { x ^ { 2 } - 9 } \text { approaches } \infty \text { or } - \infty \text { as } x \text { approaches } - 3 \text { from }$ the left and from the right by completing the tables below.
$\begin{array}{|c|c|c|c|c|}\hline x & -3.5 & -3.1 & -3.01 & -3.001 \\\hline f(x) & & & & \\\hline\end{array}$

$\begin{array}{|c|c|c|c|c|}\hline x & -2.999 & -2.99 & -2.9 & -2.5 \\\hline f(x) & & & & \\\hline\end{array}$

• A) \(\lim _ { x \rightarrow - 3 ^ { - } } f ( x ) = - \infty , \lim _ { x \rightarrow - 3 ^ { + } } f ( x ) = \infty\)
• B)\(\lim _{x \rightarrow-3^{-}} f(x)=\infty, \lim _{x \rightarrow-3^{+}} f(x)=-\infty\)
• C) \(\lim _ { x \rightarrow - 3 ^ { - } } f ( x ) = - \infty , \lim _ { x \rightarrow - 3 ^ { + } } f ( x ) = \infty\)
• D)\(\lim _ { x \rightarrow - 3 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow - 3 ^ { + } } f ( x ) = -\infty\)

Identify the major freshwater sources and their uses.

Recognize the factors influencing groundwater movement, including porosity and permeability.

Grasp the processes contributing to the water table and groundwater accumulations.

Discern patterns and causes of water pollution and purification processes.

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Definitions:

Mental Health Center

A facility offering services and support for people dealing with various mental health disorders.

Revolving Door

A metaphor often used to describe a situation where individuals repeatedly enter and exit a system, like hospital admissions or employment, without finding a long-term solution.

Treatment Facilities

Institutions that provide medical and therapeutic services for individuals with illnesses, injuries, or disorders.

Communities

Groups of people living in the same place or having a particular characteristic in common, sharing a sense of identity or cohesion.