Given the Graph Of $$y = f ^ { \prime } ( x )$$

question 14

Essay

Given the graph of $$y = f ^ { \prime } ( x )$$ , answer the questions that follow. (a) Find all values of x at which
(i) f is increasing.(iv) $f ^ { \prime \prime } ( x ) < 0$ (vii) $f ^ { \prime } \text { is decreasing. }$ (ii) f is decreasing.(v) f has an inflection point.(viii) f has a local maximum.(iii) $f ^ { \prime \prime } ( x ) > 0$ (b) Sketch a graph which could represent y = f (x).

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Definitions:

Cognitive Flexibility

The mental ability to switch between thinking about two different concepts, and to think about multiple concepts simultaneously.

Increased Alertness

A state of heightened awareness and readiness to respond, often as a result of stimulant consumption or mental focus techniques.

Suicidal Risk

The likelihood that an individual will attempt to take their own life or engage in self-harm behaviors.

Severe Depression

A mental health condition characterized by a profound and persistent feeling of sadness, hopelessness, and a lack of interest or pleasure in life.