Determine the Largest Interval on Which the Function $f ( x ) = x + \frac { 1 } { x }$

question 218

Multiple Choice

Determine the largest interval on which the function $f ( x ) = x + \frac { 1 } { x }$ concave upward?

• A) \(( - 1,0 )\)

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Definitions:

Empty Chair

A technique in gestalt therapy where a client speaks to an imaginary person in an empty chair to express thoughts and emotions.

Gestalt Therapy

A form of psychotherapy that emphasizes personal responsibility and focuses on the individual's experience in the present moment within the therapist-client relationship.

Person-centered Therapy

A counseling approach where the therapist creates a supportive environment, allowing the client to lead the discussion and find their own solutions.

Unconditional Positive Regard

An approach in psychotherapy and human relationships based on acceptance and support, regardless of what a person says or does.