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:

Somatic Nervous System

A section of the peripheral nervous system responsible for managing the intentional movement of the body by regulating skeletal muscles.

Eyeblink

A rapid closing and opening of the eyelid, which serves as a protective reflex to remove irritants from the surface of the eye or shield it from bright lights or approaching objects.

Cerebellum

The part of the brain that controls muscular coordination and equilibrium.

Hindbrain

The rear part of the brain that includes the cerebellum and brainstem, involved in regulating basic life functions like heartbeat and breathing.