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

question 108

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:

Price Floor

A government-imposed minimum price set above the equilibrium price, preventing market prices from falling below it.

Shortage/Surplus

Conditions where the quantity demanded is greater than the quantity supplied (shortage) or the quantity supplied is greater than the quantity demanded (surplus) in a market.

Quantity Demanded

The total amount of goods or services that consumers are willing and able to purchase at a specific price level.

Quantity Supplied

The volume of a good or service available for sale from suppliers at a certain cost.