Consider the following.

$f(x)=\{\begin{array}{cc}{x}^2-1,& x0\\ 3x+2,& x>0\end{array}$

Describe the interval$(s)on$ which the function $is$ continuous. $(Enter$ your answer using interval notation.$)$

Identify any discontinuities. $(Enter$ your answers $as$ a comma$-$separated list. $Ifan$ answer does not exist, enter

DNE.$)$

$x=$

$If$ the function has a discontinuity, identify the conditions $of$ continuity that are not satisfied. $(Select$ all that

apply. Select each choice $ifitis$ met for any $of$ the discontinuities.$)$

There are $no$ discontinuities; $f(x)is$ continuous.

There $is$ a discontinuity $atx=c$ where $\underset{xc}{lim}f(x)f(c).$

There $is$ a discontinuity $atx=c$ where $f(c)is$ not defined.

There $is$ a discontinuity $atx=c$ where $\underset{xc}{lim}f(x)$ does not

exist. Please just answer the final questioin.