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

question 172

Multiple Choice

Identify intervals on which the function is increasing, decreasing, or constant.
- $$g ( x ) = 1.25 ( x + 8 ) ^ { 2 }$$

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

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.