Suppose the domain of $f\left(x\right)$ is $(-1,1)$. Determine the intervals where $f\left(x\right)$ is increasing and decreasing using the graph of its derivative $f^{\prime }\left(x\right)$.

$f\left(x\right)$ is decreasing on $(-1,-0.5)$ and increasing on $(-0.5,1)$

$f\left(x\right)$ is increasing on $(-1,-0.5)$ and decreasing on $(-0.5,1)$

$f\left(x\right)$ is decreasing on $(-1,0)$ and increasing on $(0,1)$

$f\left(x\right)$ is increasing on $(-1,0)$ and decreasing on $(0,1)$