$\text { Find the } x \text {-values (if any) at which the function } f ( x ) = \frac { x } { x ^ { 2 } - 100 } \text { is not continuous. }$

question 9

Multiple Choice

$\text { Find the } x \text {-values (if any) at which the function } f ( x ) = \frac { x } { x ^ { 2 } - 100 } \text { is not continuous. }$ Which of the discontinuities are removable?

• A) 10 and \(- 10\), removable
• B) discontinuous everywhere
• C) continuous everywhere
• D) 10 and \(- 10\), not removable
• E) 0 , removable

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Definitions:

Incentive to Deviate

A situation where a party has a profitable reason to diverge from a prescribed strategy or agreement.

Monopoly Output

The quantity of goods or services produced by a monopolist, characterized by the lack of competition and the ability to control prices.

Colluding Duopoly Firms

Two firms in a duopolistic market condition that agree, often secretly or illegally, to set prices or control the market in a way that disadvantages competitors or exploits consumers.

Price Rise

An increase in the cost of goods or services, often equated with inflation but can also indicate a market adjustment due to supply and demand.