Find the Interval(s) Where $f ( x ) = \sqrt { x ^ { 2 } - 2 x + 3 }$

question 69

Multiple Choice

Find the interval(s) where $f ( x ) = \sqrt { x ^ { 2 } - 2 x + 3 }$ is continuous.

• A) \([ 0 , \infty )\)
• B) \([ - 3,3 ]\)
• C) \(( - \infty , \infty )\)
• D) \([ - 2,3 ]\)

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Definitions:

Losses

Financial deficits that occur when the costs of operating a business exceed the revenue generated from selling goods or services.

P = MC

This equation represents the condition where the price (P) of a product equals the marginal cost (MC) of producing one additional unit, typically illustrating a firm's optimal production point in perfectly competitive markets.

MC = ATC

The condition where marginal cost equals average total cost, often used to identify the point of minimum average cost in the short run.

Zero Profits

A situation where a company's total revenues equal its total costs, meaning it is breaking even and not generating any profit.