At How Many Different Values of X Does the Curve $3$

question 179

Multiple Choice

At how many different values of x does the curve y = x $3$ - 2x have a tangent line parallel to the line $y = x$ ?

• A)0
• B)1
• C)2
• D)3
• E)4
• F)5
• G)6
• H)7

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Definitions:

Unit Price Elastic

A condition where a change in the price of a good or service has a proportional change in the quantity demanded or supplied.

Quantity Demanded

The overall quantity of a product or service that customers are ready to buy at a particular price during a defined timeframe.

Normal Good

A normal good is a type of good for which demand increases when income increases, and falls when income decreases but price remains constant.

Income Rises

An increase in the amount of money received by individuals or entities, typically through wages, dividends, or investments.