How Many Points of Inflection Are on the Graph of the Function

question 147

Multiple Choice

How many points of inflection are on the graph of the function?
$$f ( x ) = 18 x ^ { 3 } + 5 x ^ { 2 } - 12 x - 20$$ Select the correct answer.

• A) 5
• B) 2
• C) 3
• D) 4
• E) 1

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Definitions:

Perfect Competitor

A theoretical market structure where many firms sell identical products, there are no barriers to entry or exit, buyers have perfect information, and firms are price takers.

Long Run

A period in economics where all factors of production and costs are variable, allowing for full industry adjustment to changes.

Perfect Competitor

A theoretical market structure where many firms offer a standardized product, there is free entry and exit, and all buyers and sellers have perfect information, leading to price being equal to marginal cost.

Long Run

A period in which all inputs can be adjusted, allowing firms to change their production capacity and industries to enter or exit markets.