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:

Individuation Process

The journey towards self-realization and wholeness, emphasizing the integration of the conscious and unconscious realms of the psyche.

Opposing Aspects

This term refers to contrasting elements or components within a system, theory, or phenomenon that exist in opposition to one another.

Individuation Process

A concept in psychology, particularly in analytical psychology, referring to the process of integrating different aspects of the consciousness and unconsciousness into a whole.

Uniting

The process of joining or coming together for a common purpose or action.