Step $2$ of $9$

$(2)$ Interval$($s$)$ on which the function increases$/$decreases

In order to determine intervals of increase and decrease, we need to find the critical values$($numbers$)$ of $f(x).$

Recall that the critical values of $f(x)$ are $x-$values in the domain of $f(x)$ where $f^{\text{'}\text{'}}(x)$ is $$

Find $f^{\text{'}}(x).$

$r^{\text{'}}(x)=2x$

Combine the three terms and factor the numerator.

$f^{\text{'}}(x)=\frac{2(x-1)(x)}{x}$

$f^{\text{'}\text{'}}(x)$ is undefined at $x=0,$ but this value $$ in the domain of $f(x).$

$$ SKIP $($YOU CANNOT COME BACK$)$