Find the Intervals on Which the Function Is Continuous $$y = \frac { 5 } { | x | + 2 } - \frac { x ^ { 2 } } { 7 }$$

question 22

Multiple Choice

Find the intervals on which the function is continuous.
- $$y = \frac { 5 } { | x | + 2 } - \frac { x ^ { 2 } } { 7 }$$

• A) discontinuous only when \(x = - 2\)
• B) continuous everywhere
• C) discontinuous only when \(x = - 7\) or \(x = - 2\)
• D) discontinuous only when \(x = - 9\)

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Definitions:

Trade

The exchange of goods and services between people or entities, often in the context of international markets.

Resource Constraints

Limitations on the availability of resources, such as time, money, and materials, that affect decision-making and outcomes.

Self-Sufficient

The ability of an individual or a community to provide for all of their needs, particularly in terms of producing food, without relying on external sources.

Opportunity Cost

The importance of the best alternative sacrifice due to choosing a particular path.