Determine Whether the Given Function Is Continuous

question 196

Multiple Choice

Determine whether the given function is continuous. If it is not, identify where it is discontinuous and which condition fails to hold. You can verify your conclusions by graphing the function with a graphing utility, if one is available. ​ ​

• A) discontinuous at
• B) discontinuous at
• C) discontinuous at
• D) discontinuous at
• E) continuous everywhere

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Definitions:

Ambivalent Attachment

A type of insecure attachment where children are wary and particularly clingy to their caregivers, showing mixed feelings of seeking and resisting closeness.

Avoidant Attachment

A type of attachment style characterized by a desire to maintain independence and emotional distance from others.

Secure Attachment

A type of attachment characterized by showing mild distress at leave-takings, seeking nearness to an attachment figure, and being readily soothed by this figure.

Generationally

Pertaining to or affecting a particular generation or generations, often in the context of family heritage or cultural changes.