Write the Domain and Range of the Function in Interval $$q ( x ) = 2 x ^ { 2 } - 12 x + 2$$

question 270

Multiple Choice

Write the domain and range of the function in interval notation.
- $$q ( x ) = 2 x ^ { 2 } - 12 x + 2$$

• A) Domain: \(( - \infty , \infty )\)
• Range: \(( - \infty , - 16 ]\)
• B) Domain: \([ - 16 , \infty )\)
• Range: \(( - \infty , \infty )\)
• C) Domain: \(( - \infty , \infty )\)
• Range: \([ - 16 , \infty )\)
• D) Domain : \([ 0 , \infty )\)
• Range: \(( \infty , \infty )\)

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Definitions:

ATC

Stands for Average Total Cost, which is the total cost of production (fixed plus variable costs) divided by the number of units produced.

Economic Profits

A reiteration emphasizing the calculation that includes total revenues minus total costs, where total costs consider both the explicit and implicit costs.

Competitive Price-searcher Market

A market structure where firms have some degree of market power, enabling them to set prices above marginal cost, but must consider competitor prices to attract consumers.

Product Diversity

The variance in products and services offered by companies or available in a market, aiming to cater to different consumer preferences.