Write the Domain and Range of the Function in Interval $$f ( x ) = x ^ { 2 } + 10 x + 6$$

question 7

Multiple Choice

Write the domain and range of the function in interval notation.
- $$f ( x ) = x ^ { 2 } + 10 x + 6$$

• A) Domain: \(( 0 , \infty )\)
• Range: \(( - \infty , - 19 ]\)
• B) Domain: \(( - \infty , \infty )\)
• Range: \([ - 19 , \infty )\)
• C) Domain: \(( - \infty , \infty )\)
• Range: \(( - \infty , 6 ]\)
• D) Domain: \(( - \infty , \infty )\)
• Range: \([ 6 , \infty )\)

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Definitions:

Critical Judgment

The capacity to assess situations or problems carefully and to make well-reasoned evaluations or judgements.

Inhibition

The process of restraining or decreasing the likelihood of a behavior or action, often used in the context of neurological and psychological responses.

Impulsive Behavior

Actions performed without forethought or consideration of the consequences, often driven by immediate desires or emotions.

Depressant Effects

The slowing down of brain and body functions caused by certain substances or drugs.