Identify Intervals on Which the Function Is Increasing, Decreasing, or Constant

question 81

Multiple Choice

Identify intervals on which the function is increasing, decreasing, or constant.
- $$g ( x ) = 2 - ( x - 5 ) ^ { 2 }$$

• A) Increasing: \(( - \infty , 5 )\); decreasing: \(( 5 , \infty )\)
• B) Increasing: \(( - \infty , - 5 )\); decreasing: \(( - 5 , \infty )\)
• C) Increasing: \(( 2 , \infty )\); decreasing: \(( - \infty , 2 )\)
• D) Increasing: \(( - \infty , 2 )\); decreasing: \(( 2 , \infty )\)

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Definitions:

Elastic

Describes a situation where a change in one factor (such as price) leads to a relatively larger change in another factor (such as quantity demanded or supplied).

Inelastic

Refers to a situation where the demand or supply for a good or service is relatively unresponsive to changes in price.

Price Elasticity

The responsiveness of the quantity demanded or supplied of a good to a change in its price, a key concept in understanding consumer and producer behavior.

Crude Oil

A naturally occurring, unrefined petroleum product composed of hydrocarbon deposits and other organic materials, used as a fuel source.