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

question 161

Multiple Choice

Identify intervals on which the function is increasing, decreasing, or constant.
- $$h ( x ) = | x + 4 | + | x - 8 | - 9$$

• A) Increasing: \(( 4 , \infty )\); decreasing: \(( - \infty , 8 )\); constant: \(( 4,8 )\)
• B) Increasing: \(( 8 , \infty )\); decreasing: \(( - \infty , - 4 )\); constant: \(( - 4,8 )\)
• C) Increasing: \(( 9 , \infty )\); decreasing: \(( - \infty , 4 )\); constant: \(( 4,9 )\)
• D) Increasing: \(( - \infty , - 4 )\); decreasing: \(( 8 , \infty )\); constant: \(( - 4,8 )\)

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Definitions:

Dietary Fiber

A type of carbohydrate that the body can't digest, found in the edible parts of plants or extracted from them and has various health benefits.

Digest

A process by which food is broken down into smaller components that can be absorbed by the body, or a summary of information.

Polar

A description of a molecule with a distribution of electric charge leading to one end being positively charged and the other end negatively charged.

Carbohydrates

Organic compounds consisting of carbon, hydrogen, and oxygen, usually in the ratio of 1:2:1, providing energy through metabolism.