Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsPeriodic FunctionsMedium2 minQB

MathematicsMediumsingle choice

Period of $f (x) = sgn ([x] + [- x])$ is equal to

(where [.] denotes greatest integer function)

Answer:

Solution:

Let $f (x) = sgn ([x] + [- x])$

$= {0 - 1; x \in I; x \in / I$

Hence, $f (x)$ is periodic with period 1.

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Periodic Functions

⏱ 2mℹ️ Source: QB

Loading discussions...