Is This the Graph of a Function Having the Following $\frac { \pi } { 2 }$

question 44

True/False

Is this the graph of a function having the following properties?
(I) f'(x) > 0 for all x
(II) f''(x) > 0 for all x < 0, f''(x) < 0 for x >0
(III) asymptotes at y = $\frac { \pi } { 2 }$ , y = - $\frac { \pi } { 2 }$

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Definitions:

Body Mechanics

Coordinated efforts of the musculoskeletal and nervous systems to maintain proper balance, posture, and body alignment.

Mentally Reviews

The process of consciously going over information or experiences in one's mind, often to prepare or assess.

Transfer Steps

Sequential actions taken to safely move a person from one place or position to another, often used in healthcare settings to prevent injury to patients and caregivers.

Own Strength

Referring to an individual's inherent physical or mental power and capacity for effort or endurance.