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, . . .

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Definitions:

Logical Operation

An operation in computational and digital systems that is based on binary inputs and yields a binary output, following logical principles.

Control Circuit

An electrical circuit designed to control the operation of a main power circuit, often used in applications like motor starts and stops.

Physical Connections

Refers to the tangible linkages or joints between two parts or components within a system.