Determine the Domain and the Range of the Function $$f ( x ) = x ^ { 2 } + 8 x + 7$$

question 4

Multiple Choice

Determine the domain and the range of the function.
- $$f ( x ) = x ^ { 2 } + 8 x + 7$$

• A) domain: range: \(\{ x \mid x \geq 4 \}\)
• range: \(\{ \mathrm { y } \mid \mathrm { y } \geq 9 \}\)
• B) domain: range: \(\{ x \mid x \geq 4 \}\)
• range: \(\{ y \mid y \geq - 9 \}\)
• C) domain: all real numbers
• range: \(\{ y \mid y \geq - 9 \}\)
• D) domain: all real numbers
• range: \(\{ y \mid y \geq 9 \}\)

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Definitions:

Emotional Reactivity

The extent to which a person experiences emotional responses to stimuli or events in their environment.

CBT

Cognitive Behavioral Therapy, a type of psychotherapeutic treatment that helps patients understand the thoughts and feelings that influence behaviors.

Mindfulness

A mental state achieved by focusing one’s awareness on the present moment, while calmly acknowledging and accepting one's feelings, thoughts, and bodily sensations.

Present Moment

Focuses on the current point in time, emphasizing awareness and mindfulness of one's thoughts, feelings, and surroundings without distraction from past or future concerns.