The number of integral values of satisfying the equation is

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The number of integral values of

x

satisfying the equation

\operatorname{sgn}\left(\frac{15}{1+x^2}\right)=\left\lfloor1+\{2x\}\right\rfloor

is. Here,

\operatorname{sgn}(y)

\lfloor y\rfloor

, and

\{y\}

denote the signum function, greatest integer function, and fractional part function, respectively.