Question

The point where the graph of the function $f\left(x\right)=sgn\left(\log x\right)$ breaks(or becomes discontinuous) is
(Sgn is the Signum function)

• A. -1
• B. 0.0
• C. 1
• D. $e$

Answer 1

The correct option is C 1

The graph of sgn(x) is

It is discontinuous or breaks when x = 0

Thus, $sgn\left(\log x\right)$ will be discontinuous (will break) when log x = 0

or when x = 1.