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)\(\lim _ { x \rightarrow - 3 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow - 3 ^ { + } } f ( x ) = -\infty\)

Determine the outcomes of excess supply or demand in market equilibrium.

Understand the implications of changes in income on demand for normal goods.

Evaluate the impact of supply and demand equations on market equilibrium prices and quantities.

Comprehend the role of substitutes in market dynamics and how changes in the supply of one good can affect the price of substitute goods.

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Definitions:

Parental Pampering

Overindulgent behavior by parents that can lead to children developing a sense of entitlement or lack of self-discipline.

Individual Psychology

A psychological approach focusing on a person's unique, individual nature and their pursuit of goals for self-improvement and community welfare.

Superego

In psychoanalytic theory, the part of the personality that represents internalized ideals and provides standards for judgment.

Social Cognitive Theory

A theory of learning and social behavior which proposes that new behaviors can be acquired by observing and imitating others.