Suppose that the piecewise define function $f$ is defined by

$f(x)=\{\begin{array}{cc}\sqrt[\phantom{2}]{x+2},& -2-1\end{array}$

Determine which of the following statements are true.

Select the correct answer below:

$f(x)$ has a removable discontinuity at $x=-1.$

$f(x)$ has a jump discontinuity at $x=-1.$

$f(x)$ has an infinite discontinuity at $x=-1.$

$f(x)$ is continuous at $x=-1.$