A Function F Is Continuous at the Point If

question 177

Multiple Choice

A function f is continuous at the point if the following conditions are satisfied. ​
1) is defined.
2) exists.
3) .
​
Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s) for continuity that are violated.
​ ​ ​

• A) ; conditions 1, 2
• B) ; conditions 2, 3
• C) ; conditions 1, 2
• D) ; condition 2
• E) Continuous everywhere.

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Definitions:

Perfect Competitors

describes a market structure where many firms sell identical products, and no single seller has any influence over market price.

Market Price

The current price at which a good or service can be bought or sold in the marketplace.

Shutdown Point

The shutdown point refers to the level of output and price at which a company cannot cover its variable costs, leading it to cease operations temporarily.

Profit Maximizing Level of Output

The quantity of production that yields the highest possible profit for a firm, determined by the point where marginal cost equals marginal revenue.