Classify the Function as Continuous or Discontinuous $f ( x ) = \llbracket \frac { x } { 3 } \rrbracket$

question 73

Multiple Choice

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s) of
discontinuity.
- $f ( x ) = \llbracket \frac { x } { 3 } \rrbracket$

• A)discontinuous at x = . . . -3, -2, -1, 0, 1, 2, 3, . . .
• B)continuous
• C) \(\text { discontinuous at } x = \ldots - 1 , - \frac { 2 } { 3 } , - \frac { 1 } { 3 } , 0 , \frac { 1 } { 3 } , \frac { 2 } { 3 } , 1 , \ldots\)
• D)discontinuous at x = . . . -9, -6, -3, 0, 3, 6, 9, . . .

---

Definitions:

Exchange Relationships

Interpersonal connections based on reciprocal exchange of benefits or favors.

Societal Progress

The development and improvement of society in terms of economic, social, cultural, or technological aspects.

Modern Societies

Contemporary communities characterized by advanced technological development, urbanization, and complex social structures.

Communal

Pertains to a group or community, focusing on the shared responsibilities, benefits, or possessions of the members of said group.