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Do the Graphs Intersect in the Given Viewing Rectangle? If y=x33x,y=x+6;[4,4] by [15,15]y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,4 ] \text { by } [ - 15,15 ]

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Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? y=x33x,y=x+6;[4,4] by [15,15]y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,4 ] \text { by } [ - 15,15 ]


Definitions:

Linear

Relating to a straight line or a model where relationships between variables or quantities are proportional.

Purely Competitive Industry

Refers to a market structure where many firms sell identical products, entry and exit from the market are easy, and no single buyer or seller can influence the market price.

Demand Curve

This depicts how consumer demand for a product changes as the price of that product changes, illustrating the inverse relationship between price and quantity demanded.

Perfectly Elastic

Describes a situation in which quantity demanded or supplied changes infinitely in response to any change in price, visualized as a horizontal line on a demand or supply graph.

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