If $1 \leq f ( x ) \leq x ^ { 2 } + 6 x + 6$

question 45

Multiple Choice

If $1 \leq f ( x ) \leq x ^ { 2 } + 6 x + 6$ , for all $x$ , find $\lim _ { x \rightarrow - 1 } f ( x )$

• A) \(- \frac { 1 } { 8 }\)
• B) 1
• C) \(- \frac { 1 } { 16 }\)
• D) 8
• E) does not exist

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Definitions:

Leptin

A hormone produced by fat cells that helps to regulate energy balance by inhibiting hunger.

Cholecystokinin

A hormone released by the small intestine that stimulates the digestion of fat and protein, and also acts as a satiety signal to the brain.

Fat Cells

Cells that specialize in storing energy as fat, known scientifically as adipocytes, playing a significant role in metabolism and energy balance.

Serotonin

Serotonin is a neurotransmitter that plays a key role in regulating mood, appetite, sleep, memory, and other bodily functions.